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  • Let T be an n-tuple of bounded linear operators on a complex Hilbert space H. Then there exists an n-tuple K of compact operators such that the essential numerical range of T equals to the closure of the numerical range of T+K. This generalices the corresponding resoult for n=1. The result is also applied to the Olsen problem.
  • Let T be an n-tuple of bounded linear operators on a complex Hilbert space H. Then there exists an n-tuple K of compact operators such that the essential numerical range of T equals to the closure of the numerical range of T+K. This generalices the corresponding resoult for n=1. The result is also applied to the Olsen problem. (en)
Title
  • The joint essential numerical range, compact perturbations, and the Olsen problem
  • The joint essential numerical range, compact perturbations, and the Olsen problem (en)
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  • The joint essential numerical range, compact perturbations, and the Olsen problem
  • The joint essential numerical range, compact perturbations, and the Olsen problem (en)
skos:notation
  • RIV/67985840:_____/10:00342843!RIV11-GA0-67985840
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  • P(GA201/09/0473), P(IAA100190903), Z(AV0Z10190503)
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  • 3
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  • RIV/67985840:_____/10:00342843
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  • joint essential numerical range; joint numerical range; compact perturbation; Olsen's problem (en)
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  • PL - Polská republika
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  • [CA8855DF5966]
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  • Studia mathematica
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  • 197
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  • Müller, Vladimír
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  • 000277765100005
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  • 0039-3223
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