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Paper Citation Record · LEDGER

Lacunary Series, Nonlinear Functionals and Banach Space Structure

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.07055.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.07055 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:57:00.467090Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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  • verified fuzzy0
  • unresolved30
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation e493f383-7546-45f0-b6a8-e7f32117b382 · outbound

This paper cites Ansorena and G.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Ansorena and G

Reference 1

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:95b14a8f81982b9f4023e1cb26e8cef4066cc3e028903ffc7cb7bd1f9021aedb

Observation e6fbeaea-95b9-4e49-8588-138dbce13627 · outbound

This paper cites Aldous, Limit theorems for subsequences of arbitrarily-dependent sequences of random variables,Z.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Aldous, Limit theorems for subsequences of arbitrarily-dependent sequences of random variables,Z

Reference 2

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Observation f8d6702a-73e8-4b7a-84ea-4b9f7079f3ae · outbound

This paper cites an unresolved cited work.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Unresolved cited work

Reference 3

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:876d3bfced4d11fe3f2ced9d58584463412c719404727d455e1fb149faf42e5b

Observation 8db7d04c-dfbf-422d-86b3-021f325fe4f5 · outbound

This paper cites an unresolved cited work.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Unresolved cited work

Reference 4

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:0804b48cac48e630b0cba407dcc3e0f73878be3c54a7dcdf2c273d9f8e334ea6

Observation e9a3f6da-f640-4583-88b2-2692c2566336 · outbound

This paper cites an unresolved cited work.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Unresolved cited work

Reference 5

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Observation 2f52f4a1-d5a4-4e73-8cbd-26e93bceb3ad · outbound

This paper cites Bennett and R.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Bennett and R

Reference 6

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:beb99589d8f3a8c2be8ac0cd98264bfd2a6ee75b3fa9af78a7c06c58e62ec2d8

Observation 476656ac-13ef-4664-9068-39e708d042cd · outbound

This paper cites Berkes, On almost symmetric sequences inLp.Acta Math.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Berkes, On almost symmetric sequences inLp.Acta Math

Reference 7

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:b76dee117801feadf9d101684f85b1be26a041baffa46af6833a0d4fad5f45a2

Observation 0032d790-88a5-4dac-bbba-0bc6def3e42b · outbound

This paper cites Berkes and H.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Berkes and H

Reference 8

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:e7d7048b57d671b5725ad122f12a8e2c9477b361742fc6f625dddb97c9f2cf5b

Observation 34ac29c2-2b60-4003-9799-3e0776ff0b45 · outbound

This paper cites A Marcinkiewicz-Zygmund inequality and the Kadec Pe{\l}czyn\'ski theorem in Orlicz spaces.

Lacunary Series, Nonlinear Functionals and Banach Space Structure A Marcinkiewicz-Zygmund inequality and the Kadec Pe{\l}czyn\'ski theorem in Orlicz spaces

Reference 9

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:244e536f3ad1d8419405ef6c5bce72f88dd5c46b80d4234a8ac63c51b37d34cb

Observation 525bb236-a1b2-4216-bb72-efcd49134ef4 · outbound

This paper cites Berkes and R.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Berkes and R

Reference 10

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:21e8dd67807b26885fc23aa57fbf83e23f78390698cef78015d3f36b6ab04313

Observation b7e20d04-5fb8-4828-99a5-055366d470ca · outbound

This paper cites Berkes and R.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Berkes and R

Reference 11

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:5a1e5d755f74d56af4c6a58cc03d9a56708ade2dfe02560ec48228044d905e1a

Observation 0a3c2276-3002-4819-bf6b-892c9d729881 · outbound

This paper cites Billingsley,Convergence of Probability Measures, Wiley, New York, 1968.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Billingsley,Convergence of Probability Measures, Wiley, New York, 1968

Reference 12

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:15864bce84a77036842451b1a83e18b1d482ea6414beecead653781953d70fa6

Observation 71df24c4-dedc-4bec-8f16-39915eb9f250 · outbound

This paper cites an unresolved cited work.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Unresolved cited work

Reference 13

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:56bac029d0b361ec157ea7926bbb03e54c86ee70a293dc2cb4c5bcd80a377ffd

Observation 18858733-21e0-481c-9a1a-50ebf26f546c · outbound

This paper cites an unresolved cited work.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Unresolved cited work

Reference 14

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:e3ef39f74a99cdaf2b3e02ab91d3918be31c84a434bae4fa1b925e7086d68010

Observation d6ba5b6e-f9ba-4685-b6f0-7c59774566c7 · outbound

This paper cites Guerre, Types and suites symétriques dansLp,1≤p <+∞,Israel J.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Guerre, Types and suites symétriques dansLp,1≤p <+∞,Israel J

Reference 15

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:293278f72d66bed3a4f2d8f308c4eef7c1ee8717c74ea592beec679faf326e60

Observation de9d7a6a-b17c-462a-a650-155def281f9e · outbound

This paper cites an unresolved cited work.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Unresolved cited work

Reference 16

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:2a9fd30284961885604a613e83f2c4a037fbf44f131fd1eed404894e2ed145c8

Observation 7e372031-67dc-4314-bb17-e23a40db7de9 · outbound

This paper cites Kadec and A.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Kadec and A

Reference 17

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:c7c77c922223f77e871e0b2b43a770dfe80ae8b14b6b73cefdca70a7f599530e

Observation 7fccf7d6-0951-4267-b7b0-45063f214599 · outbound

This paper cites Khinchin, Über dyadische Brüche.Math.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Khinchin, Über dyadische Brüche.Math

Reference 18

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:89c729e9fcd906349f443c1d0535830d1ac86a9cef29da22e224eb3b956b76db

Observation 7d09422a-a6bb-405b-acfc-a9e05c428d04 · outbound

This paper cites Krulić Himmelreich, J.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Krulić Himmelreich, J

Reference 19

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:a23cd2a531fd89ad15344fe3d14aae56ad81c6fc20e868b2ddeb344fe69cca8d

Observation c70b7923-b663-41e7-8bba-43121cad90b6 · outbound

This paper cites Kolwicz, K.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Kolwicz, K

Reference 20

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:dd042cef855e121ec04c5f72bd3dd83e9be7b9f7024f4f3dabc8bdab3f262999

Observation b3f72132-1907-4c0e-825e-6f391f9efad2 · outbound

This paper cites Komlós, Every sequence converging to 0 weakly inL2 contains an unconditional convergence sequence.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Komlós, Every sequence converging to 0 weakly inL2 contains an unconditional convergence sequence

Reference 21

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:bfecb2524eceb49e0d01c43c1b6474b34ecb14ed2e8af7c2241e5bcc16b5bba1

Observation af15d6ce-1954-4a8a-a53d-9a6e10dfccf6 · outbound

This paper cites 2, 119–146.

Lacunary Series, Nonlinear Functionals and Banach Space Structure 2, 119–146

Reference 22

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:4afd1bd19f393ce40eab10b879d815d8a9015319ec8fe07555af4ad4f40385c2

Observation 5adcc94b-932c-414f-bb52-8ee2e1bde14b · outbound

This paper cites Maligranda,Orlicz Spaces and Interpolation.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Maligranda,Orlicz Spaces and Interpolation

Reference 23

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:b48c2632fb09eedb59d9941110c005823b1c60c6b20e9956f52aa81ffa6d4a48

Observation 96263b44-7413-47ff-ae70-3aebc046baa4 · outbound

This paper cites Marczinkiewicz and A.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Marczinkiewicz and A

Reference 24

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:91666ae5669741f0b5d086dc6f1e3b61dd47b5791563ca831373946c36a01935

Observation efb95208-96ed-40d9-bcef-c6f2848c644d · outbound

This paper cites Marczinkiewicz and A.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Marczinkiewicz and A

Reference 25

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:0f9309c4d8eff8071fd0e0340ee2f2068780f8bb03239a9e62870f7ae480a2c8

Observation e43f9f57-a1c6-4a68-bdd8-674a88c77861 · outbound

This paper cites Marczinkiewicz and A.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Marczinkiewicz and A

Reference 26

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:82bbced5203af4641d79ad4e49d3d910a27436b38bcdc87f6aea6b5335d92a3f

Observation f87eb407-2c04-45ed-b1d2-0d9eb6bb68aa · outbound

This paper cites Ranga Rao, Relations between weak and uniform convergence of measures with applications,Ann.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Ranga Rao, Relations between weak and uniform convergence of measures with applications,Ann

Reference 27

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:e3525f9ed3d2c786dd4b845dbaa289e341b687f946673bff80a25682f6d59204

Observation 4a2aeaba-0a06-4c6e-bd24-18204e1fe286 · outbound

This paper cites Rodin and E.M.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Rodin and E.M

Reference 28

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:a5a31567bada04e3c963754ce024be0cde84c0db7d621861d153c90c53be1e24

Observation c647b2a3-c1f7-4547-860f-ff7342e63340 · outbound

This paper cites Rosenthal, On the subspaces ofLp (p > 2)spanned by sequences of independent random variables.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Rosenthal, On the subspaces ofLp (p > 2)spanned by sequences of independent random variables

Reference 29

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:12bb6e87afd2c425371ee794a7517cd37f2e98da15162cccad709382f9869ab8

Observation e800f70a-80c3-48bd-955b-b6ee860dd9fe · outbound

This paper cites Rosenthal, On the span inLp of sequences of independent random variables.Proc.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Rosenthal, On the span inLp of sequences of independent random variables.Proc

Reference 30

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:683493f69cd814cc5e573f95e9127d2467e496375c908f9b5467cd6eca8fe935

Observation ae16855c-d535-4d35-9706-30c93d662c10 · outbound

This paper cites Smithies, Convex Functions and Orlicz Spaces.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Smithies, Convex Functions and Orlicz Spaces

Reference 31

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doi, observed 2026-06-27T21:01:14.989836Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:94ca9098188ad0ab48d602b72873e13dbe6770588c6b5f2a5d6085291b68d702

Observation 5d9f518b-d5ea-40aa-91bb-3c30846c5942 · outbound

This paper cites Ulyanov, Solved and unsolved problems in the theory of trigonometric and orthogonal series.Uspehi Mat.

Lacunary Series, Nonlinear Functionals and Banach Space Structure Ulyanov, Solved and unsolved problems in the theory of trigonometric and orthogonal series.Uspehi Mat

Reference 32

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source=pdf_text observed=2026-06-27T20:57:00.467090Z digest=sha256:e7e9ecea40473d8e5a0ccf736c8737f8999e7c2b34ab03a738134e08c0e70476

Pith citing papers

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