Strongly zero product determined Banach algebras
نویسندگان
چکیده
C⁎-algebras, group algebras, and the algebra A(X) of approximable operators on a Banach space X having bounded approximation property are known to be zero product determined. In this paper we give quantitative estimate by showing that, for A, there exists constant α with that every continuous bilinear functional φ:A×A→C linear ξ A such thatsup‖a‖=‖b‖=1|φ(a,b)−ξ(ab)|≤αsup‖a‖=‖b‖=1,ab=0|φ(a,b)| in each following cases: (i) is C⁎-algebra, which case α=8; (ii) A=L1(G) locally compact G, α=60271+sinπ101−2sinπ10; (iii) A=A(X) (A) (which rather strong X), α=60271+sinπ101−2sinπ10C2, where C associated require X.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2021
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2021.09.002