Weak invertibility and strong spectrum
Michael J. Meyer
Abstract
Open-access reader
Michael J. Meyer
Abstract
Open-access reader
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
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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