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Arens Regularity of the Algebra of Operators on a Banach Space
Author(s) -
Daws Matthew
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303003072
Subject(s) - mathematics , banach algebra , banach space , algebra over a field , pure mathematics , space (punctuation) , operator theory , computer science , operating system
A short proof is given that if E is a super‐reflexive Banach space, then B( E ), the Banach algebra of operators on E with composition product, is Arens regular. Some remarks are made on necessary conditions on E for B( E ) to be Arens regular. 2000 Mathematics Subject Classification 47L10 (primary), 46H05 (secondary).