1993•Studia MathematicaOpen access

Weak invertibility and strong spectrum

Michael J. Meyer

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Abstract

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

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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

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Available abstract

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

Key concepts: Mathematics, Unital, Spectrum (functional analysis), Associative property, Element (criminal law), Pure mathematics, Banach algebra, Jacobson radical

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