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Arens Regularity for Quotients A p ( E ) of the Herz Algebra
Author(s) -
Graham Colin C.
Publication year - 2002
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/s0024609302001121
Subject(s) - mathematics , quotient , mathematics subject classification , subject (documents) , algebra over a field , pure mathematics , combinatorics , discrete mathematics , computer science , library science
If the subset T supports a synthesizable p ‐pseudofunction T , then the restriction A p ( E ) to E of the Herz algebra on T is not Arens regular. The proof is direct, by brute force, and does not show the existence of Day points for A p ( E ). 2000 Mathematics Subject Classification 43A15, 43A10 (primary), 46L10 (secondary).