Pith Number

pith:PXR2ZGCI

pith:2025:PXR2ZGCI7BUV7RA2UOIOV3535V

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Chaos and dF-semi-transitivity of operators on Banach C*-modules

Stefan Ivkovic

Provides complete characterizations of disjoint F-semi-transitivity and Li-Yorke/Devaney chaos for weighted composition operators on Radon measures, left multipliers on Hilbert-Schmidt and compact operators, and elementary operators on non-commutative L2 spaces.

arxiv:2506.06529 v11 · 2025-06-06 · math.FA

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\pithnumber{PXR2ZGCI7BUV7RA2UOIOV3535V}

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Record completeness

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5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We characterize disjoint F-semi-transitive adjoints of weighted composition operators acting on the weighted space of Radon measures. Also, we completely characterize Devaney chaotic adjoints of weighted composition operators on the space of Radon measures.

C2weakest assumption

The characterizations for Li-Yorke chaos rely on the underlying Hilbert space being separable and the Banach space possessing the approximation property, as these conditions are explicitly invoked for the respective operator classes in the abstract.

C3one line summary

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:04:54.971227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de3ac9848f8695fc41aa390eaefbbed7d93331037cd6a0a0f7fcdf3a57c4af6

Aliases

arxiv: 2506.06529 · arxiv_version: 2506.06529v11 · doi: 10.48550/arxiv.2506.06529 · pith_short_12: PXR2ZGCI7BUV · pith_short_16: PXR2ZGCI7BUV7RA2 · pith_short_8: PXR2ZGCI

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PXR2ZGCI7BUV7RA2UOIOV3535V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7de3ac9848f8695fc41aa390eaefbbed7d93331037cd6a0a0f7fcdf3a57c4af6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b77e515e584b3de28532619faeb37d5855f304d6fb12869fb5370fec9e5fe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-06T20:50:28Z",
    "title_canon_sha256": "d7f9826a7f7c2365dc820b57a6d4df76ca05b367dd7050d951c73cd2a64814ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06529",
    "kind": "arxiv",
    "version": 11
  }
}