Spectral radius formula for commuting Hilbert space operators

• Autorzy: Vladimír Müller , Andrzej Sołtysiak
• Języki publikacji: EN

Abstrakty

EN

A formula is given for the (joint) spectral radius of an n-tuple of mutually commuting Hilbert space operators analogous to that for one operator. This gives a positive answer to a conjecture raised by J. W. Bunce in [1].

Kategorie tematyczne

• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 103
• Numer: 3
• Strony: 329-333

Daty

wydano

1992

otrzymano

1992-06-08

Twórcy

autor

Vladimír Müller

• Institute of Mathematics, Czechoslovak Academy of Sciences, Žitná 25, 115 67 Praha 1, Czechoslovakia

autor

Andrzej Sołtysiak

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

Bibliografia

• [1] J. W. Bunce, Models for n-tuples of noncommuting operators, J. Funct. Anal. 57 (1984), 21-30.
• [2] M. Chō and W. Żelazko, On geometric spectral radius of commuting n-tuples of operators, Hokkaido Math. J. 21 (1992), 251-258.
• [3] R. E. Curto, The spectra of elementary operators, Indiana Univ. Math. J. 32 (1983), 193-197.
• [4] R. Harte, Tensor products, multiplication operators and the spectral mapping theorem, Proc. Roy. Irish Acad. Sect. A 73 (1973), 285-302.
• [5] V. Müller and F.-H. Vasilescu, Standard models for some commuting multioperators, Proc. Amer. Math. Soc., to appear.
• [6] A. Sołtysiak, On a certain class of subspectra, Comment. Math. Univ. Carolinae 32 (1991), 715-721.
• [7] F.-H. Vasilescu, An operator-valued Poisson kernel, J. Funct. Anal., to appear.