Finite rank elements in semisimple Banach algebras

• Autorzy: Matej Brešar , Peter Šemrl
• Języki publikacji: EN

Abstrakty

EN

Let A be a semisimple Banach algebra. We define the rank of a nonzero element a in the socle of A to be the minimum of the number of minimal left ideals whose sum contains a. Several characterizations of rank are proved.

Kategorie tematyczne

• 46H15: Representations of topological algebras
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 128
• Numer: 3
• Strony: 287-298

Daty

wydano

1998

otrzymano

1997-07-15

poprawiono

1997-10-29

Twórcy

autor

Matej Brešar

• University of Maribor, PF, Koroška 160, 2000 Maribor, Slovenia,

autor

Peter Šemrl

• University of Maribor, SF, Smetanova 17, 2000 Maribor, Slovenia,

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