On ‐null sequences and their relatives

DOI10.1002/mana.201400300zbMath1335.46015arXiv1409.6476OpenAlexW2592118746MaRDI QIDQ3450299

Kati Ain, Eh. F. Oya

Publication date: 3 November 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6476

zbMATH Keywords

operator ideal\((p,r)\)-compact set\((p,r)\)-null sequence

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Banach sequence spaces (46B45) Compactness in Banach (or normed) spaces (46B50) Operator ideals (47L20)

Related Items (9)

Galois connections between generating systems of sets and sequences ⋮ On approximation properties related to unconditionally p‐compact operators and Sinha–Karn p‐compact operators ⋮ The ideal of weakly p-compact operators and its approximation property for Banach spaces ⋮ Representing the Banach operator ideal of completely continuous operators ⋮ The injective and surjective hulls of the ideal of \((p,q)\)-compact operators and their approximation properties ⋮ Polynomials and holomorphic functions on \(\mathcal{A}\)-compact sets in Banach spaces ⋮ Representing completely continuous operators through weakly ∞-compact operators ⋮ On some measures of non-compactness associated to Banach operator ideals ⋮ Weaker relatives of the bounded approximation property for a Banach operator ideal

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