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Minimal incomplete norms on Banach algebras

100%

Meyer M. J.

Studia Mathematica

1992

tom 102

nr 1

77-85

We study the family of all not necessarily complete algebra norms on a semisimple Banach algebra as a partially ordered set and investigate the existence and properties of minimal elements.

Weak invertibility and strong spectrum

100%

Meyer M. J.

Studia Mathematica

1993

tom 105

nr 3

255-269

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.

Ograniczanie wyników

2 Studia Mathematica

2 Meyer M. J.

1 1993

1 1992

Wyniki wyszukiwania

Minimal incomplete norms on Banach algebras

Weak invertibility and strong spectrum