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arxiv: 1612.06560 · v1 · pith:NCQSUW6Onew · submitted 2016-12-20 · 🧮 math.FA

Vector-valued Eidelheit sequences and the non B-completeness of tensor products

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keywords eidelheitproductssequencestensorvector-valuedapplicationb-completenesscharacterization
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We introduce vector-valued Eidelheit sequences and obtain a characterization that generalizes Eidelheit's classical theorem (Studia Math. 6 (1936), 139-148). As an application, we discuss criteria for non $B$-completeness of completed tensor products.

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