On the joint spectral radii of commuting Banach algebra elements

• Autorzy: Andrzej Sołtysiak
• Języki publikacji: EN

Abstrakty

EN

Some inequalities are proved between the geometric joint spectral radius (cf. [3]) and the joint spectral radius as defined in [7] of finite commuting families of Banach algebra elements.

Kategorie tematyczne

• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 105
• Numer: 1
• Strony: 93-99

Daty

wydano

1993

otrzymano

1992-08-31

poprawiono

1992-10-23

poprawiono

1993-02-03

Twórcy

autor

Andrzej Sołtysiak

• Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Bibliografia

• [1] M. A. Berger and Y. Wang, Bounded semigroups of matrices, Linear Algebra Appl. 166 (1992), 21-27.
• [2] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin 1973.
• [3] M. Chō and W. Żelazko, On geometric spectral radius of commuting n-tuples of operators, Hokkaido Math. J. 21 (1992), 251-258.
• [4] R. E. Harte, Spectral mapping theorems, Proc. Roy. Irish Acad. Sect. A 72 (1972), 89-107.
• [5] A. Ya. Khelemskiĭ, Banach and Polynormed Algebras: General Theory, Representations, Homology, Nauka, Moscow 1989 (in Russian).
• [6] V. Müller and A. Sołtysiak, Spectral radius formula for commuting Hilbert space operators, Studia Math. 103 (1992), 329-333.
• [7] G.-C. Rota and W. G. Strang, A note on the joint spectral radius, Indag. Math. 22 (1960), 379-381.
• [8] A. Sołtysiak, On a certain class of subspectra, Comment. Math. Univ. Carolinae 32 (1991), 715-721.