On the joint spectral radius

• Autorzy: Vladimír Müller
• Języki publikacji: EN

Abstrakty

EN

We prove the $𝓁_p$-spectral radius formula for n-tuples of commuting Banach algebra elements

Słowa kluczowe

EN

Banach algebra; spectrum; spectral radius

Kategorie tematyczne

• 46H05: General theory of topological algebras
• 46J05: General theory of commutative topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 66
• Numer: 1
• Strony: 173-182

Daty

wydano

1997

otrzymano

1994-12-22

Twórcy

autor

Vladimír Müller

• Mathematical Institute, Academy of Sciences of The Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Bibliografia

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• [5] C.-K. Fong and A. Sołtysiak, Existence of a multiplicative linear functional and joint spectra, Studia Math. 81 (1985), 213-220.
• [6] V. Müller and A. Sołtysiak, Spectral radius formula for commuting Hilbert space operators, Studia Math. 103 (1992), 329-333.
• [7] P. Rosenthal and A. Sołtysiak, Formulas for the joint spectral radius of non-commuting Banach algebra elements, Proc. Amer. Math. Soc. 123 (1995), 2705-2708.
• [8] G.-C. Rota and W. G. Strang, A note on the joint spectral radius, Indag. Math. 22 (1960), 379-381.
• [9] A. Sołtysiak, On a certain class of subspectra, Comment. Math. Univ. Carolin. 32 (1991), 715-721.
• [10] A. Sołtysiak, On the joint spectral radii of commuting Banach algebra elements, Studia Math. 105 (1993), 93-99.