Displaying similar documents to “Multiplicity theory”

Cyclic space isomorphism of unitary operators

Krzysztof Frączek (1997)

Studia Mathematica

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We introduce a new equivalence relation between unitary operators on separable Hilbert spaces and discuss a possibility to have in each equivalence class a measure-preserving transformation.

Weak invertibility and strong spectrum

Michael Meyer (1993)

Studia Mathematica

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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 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...