Operator Spaces Containing c<inf>0</inf> OR l∞

Bonet, J.; Domański, Paweł Jan; Lindström, M.; Ramanujan, M.S.

doi:10.1007/BF03322256

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Operator Spaces Containing c0 OR l∞

Authors:

J. Bonet,
Paweł Jan Domański,
M. Lindström,
M.S. Ramanujan

Abstract

Let E, F be either Fréchet or complete DF-spaces and let A(E, F) ⊆ B(E, F) be spaces of operators. Under some quite general assumptions we show that: (i) A(E, F) contains a copy of c₀ if and only if it contains a copy of l_∞; (ii) if c₀ ⊆ A(E, F), then A(E, F) is complemented in B(E, F) if and only if A(E, F) = B(E, F); (iii) if E or F has an unconditional basis and A(E, F) ≠ L(E, F), then A(E, F) ⊇ c₀. The above results cover cases of many clssical operator spaces A. We show also that EεF contains l_∞ if and only if E or F contains l_∞. © 1995, Birkhäuser Verlag, Basel. All rights reserved.

Metrics

Record ID: UAM805e824c4e224f3eae307e4050d80623
Author: J. Bonet J. Bonet,, External affiliation of publication: Universitat Politècnica de València
Paweł Jan Domański Paweł Jan Domański,, Wydział Matematyki i Informatyki [nowa struktura organizacyjna] (SNŚ/WMiI)Szkoła Nauk Ścisłych [nowa struktura organizacyjna] (SNŚ)
M. Lindström M. Lindström,, External affiliation of publication: Abo Akademi University
M.S. Ramanujan M.S. Ramanujan,, External affiliation of publication: University of Michigan, Ann Arbor
Journal series: Results in Mathematics, ISSN 1422-6383
Issue year: 1995
Vol: 28
Pages: 250-269
ASJC Classification: 2604 Applied Mathematics; 2601 Mathematics (miscellaneous)
DOI: DOI:10.1007/BF03322256 Opening in a new tab
Language: (en) English
Score (nominal): 0
Score source: journalList
Publication indicators: Scopus Citations = 6; Scopus SNIP: 2007 = 0.510; WoS Impact Factor: 2009 (2 years) = 0.513 - 2012 (5 years) =0.544

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Uniform Resource Identifier: https://researchportal.amu.edu.pl/info/article/UAM805e824c4e224f3eae307e4050d80623/

URN: urn:amu-prod:UAM805e824c4e224f3eae307e4050d80623

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.