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Banach Algebras Generated by Two Idempotents and One Flip
Author(s) -
Finck T.,
Roch Steffen,
Silbermann Bernd
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200008)216:1<73::aid-mana73>3.0.co;2-x
Subject(s) - mathematics , hausdorff space , banach algebra , element (criminal law) , symbol (formal) , function (biology) , matrix (chemical analysis) , algebra over a field , pure mathematics , banach space , computer science , law , materials science , evolutionary biology , political science , composite material , biology , programming language
The paper is concerned with the invertibility of elements in a Banach algebra generated by two idempotents and one flip element. A symbol in form of a 2 × 2 matrix function which is defined on some Hausdorff compact $\cal M$ will be constructed and a complete description of $\cal M$ will be given.