Commutativity up to a factor in Banach algebras

• Autorzy: Schmoeger C.
• Języki publikacji: EN

Abstrakty

EN

In this note we explore commutativity up to a factor ab = alfa ba for Hermitian or normal elements of a complex Banach algebra. Our results generalize results obtained for bounded linear operators on Hilbert spaces.

Słowa kluczowe

EN

Banach algebra; Hilbert spaces; operators

PL

algebra Banacha; operatory; przestrzeń Hilberta

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 4
• Strony: 895--900
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Schmoeger C.

• Mathematisches Institut I, Universitat Karlsruhe, D-76128 Karlsruhe, Germany

Bibliografia

• [1] E. Berkson, H. R. Dowson and G. A. Elliot, On Fuglede's theorem and scalar-type operators, Bull. London Math. Soc. 4 (1972), 13-16.
• [2] F. F. Bonsall and J. Duncan, Numerical Ranges of Operators on Normed Spaces and Elements of Normed Algebras, Cambridge University Press (1971).
• [3] J. A. Brooke, P. Busch and B. Pearson, Commutativity up to a factor of boundedoperators in complex Hilbert space, R. Soc. Lond. Proc. Ser. A, Math. Phys. Eng. Sci. A 458 (2002), 109-118.
• [4] C. R. Putnam, Commutation Properties of Hilbert Space Operators, Springer (1967).
• [5] W. Rudin, Functional Analysis, Mc Graw-Hill (1973).
• [6] J. Yang and H. Du A note an commutativity up to a factor of bounded operators, Proc. Amer. Math. Soc. 132 (2004), 1713-1720.