Weak invertibility and strong spectrum

• Autorzy: Michael J. Meyer
• Języki publikacji: EN

Abstrakty

EN

A notion of weak invertibility in a unital associative algebra A and a corresponding notion of strong spectrum of an element of A is defined. It is shown that many relationships between the Jacobson radical, the group of invertibles and the spectrum have analogues relating the strong radical, the set of weakly invertible elements and the strong spectrum. The nonunital case is also discussed. A characterization is given of all (submultiplicative) norms on A in which every modular maximal ideal M ⊆ A is closed.

Słowa kluczowe

EN

radical; norm; spectrum

Kategorie tematyczne

• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 105
• Numer: 3
• Strony: 255-269

Daty

wydano

1993

otrzymano

1992-09-30

Twórcy

autor

Michael J. Meyer

• Department of Mathematics and Computer Science, Georgia State University, Atlanta, Georgia 30303, U.S.A.

Bibliografia

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