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ArticleOriginal scientific text

Title

Spectral radius formula for commuting Hilbert space operators

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Czechoslovak Academy of Sciences, Žitná 25, 115 67 Praha 1, Czechoslovakia
  2. Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Abstract

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].

Bibliography

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  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.
Studia Mathematica
1992/103/3
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Pages:
329-333
Main language of publication
English
Received
1992-06-08
Published
1992
Exact and natural sciences