Elementary operators still not elementary?

• Autorzy: Mathieu M.

Identyfikatory

DOI

10.7494/OpMath.2016.36.6.787

• Języki publikacji: EN

Abstrakty

EN

Properties of elementary operators, that is, finite sums of two-sided multiplications on a Banach algebra, have been studied under a vast variety of aspects by numerous authors. In this paper we review recent advances in a new direction that seems not to have been explored before: the question when an elementary operator is spectrally bounded or spectrally isometric. As with other investigations, a number of subtleties occur which show that elementary operators are still not elementary to handle.

Słowa kluczowe

EN

spectral isometries; elementary operators; Jordan isomorphisms

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 6
• Strony: 787--797
• Opis fizyczny: Bibliogr, 28 poz.

Twórcy

autor

Mathieu M.

• Queen's University Belfast Pure Mathematics Research Centre Belfast BT7 INN, Northern Ireland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.