Spectral radius formula for commuting Hilbert space operators

Vladimír Muller; Andrzej Sołtysiak

Studia Mathematica (1992)

  • Volume: 103, Issue: 3, page 329-333
  • ISSN: 0039-3223

Abstract

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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].

How to cite

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Muller, Vladimír, and Sołtysiak, Andrzej. "Spectral radius formula for commuting Hilbert space operators." Studia Mathematica 103.3 (1992): 329-333. <http://eudml.org/doc/215956>.

@article{Muller1992,
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].},
author = {Muller, Vladimír, Sołtysiak, Andrzej},
journal = {Studia Mathematica},
keywords = {spectral radius; -tuple of mutually commuting Hilbert space operators},
language = {eng},
number = {3},
pages = {329-333},
title = {Spectral radius formula for commuting Hilbert space operators},
url = {http://eudml.org/doc/215956},
volume = {103},
year = {1992},
}

TY - JOUR
AU - Muller, Vladimír
AU - Sołtysiak, Andrzej
TI - Spectral radius formula for commuting Hilbert space operators
JO - Studia Mathematica
PY - 1992
VL - 103
IS - 3
SP - 329
EP - 333
AB - 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].
LA - eng
KW - spectral radius; -tuple of mutually commuting Hilbert space operators
UR - http://eudml.org/doc/215956
ER -

References

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  1. [1] J. W. Bunce, Models for n-tuples of noncommuting operators, J. Funct. Anal. 57 (1984), 21-30. Zbl0558.47004
  2. [2] M. Chō and W. Żelazko, On geometric spectral radius of commuting n-tuples of operators, Hokkaido Math. J. 21 (1992), 251-258. Zbl0784.47004
  3. [3] R. E. Curto, The spectra of elementary operators, Indiana Univ. Math. J. 32 (1983), 193-197. Zbl0488.47002
  4. [4] R. Harte, Tensor products, multiplication operators and the spectral mapping theorem, Proc. Roy. Irish Acad. Sect. A 73 (1973), 285-302. Zbl0265.47034
  5. [5] V. Müller and F.-H. Vasilescu, Standard models for some commuting multioperators, Proc. Amer. Math. Soc., to appear. Zbl0777.47009
  6. [6] A. Sołtysiak, On a certain class of subspectra, Comment. Math. Univ. Carolinae 32 (1991), 715-721. Zbl0763.46037
  7. [7] F.-H. Vasilescu, An operator-valued Poisson kernel, J. Funct. Anal., to appear. 

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