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On approximate point joint spectrum of p-hyponormal and log-hyponormal operators

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We show that the approximate point joint spectrum of an arbitrary n-tuple of p-hyponormal (or log-hyponormal) operators can be obtained from the spectral set 7 introduced by Mclntosh and Pryde. This is a generalization of a result proved by the second named author for hyponormal operators. We also obtain a similar result for log-hyponormal operators based on the polar decomposition.
Rocznik
Tom
Strony
33--41
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
  • Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan
  • Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland
autor
  • Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan
Bibliografia
  • [1] A. Aluthge, On p-hyponormal operators for 0 < p < 1, Integr. Equat. Oper. Th. 13 (1990), 307-315.
  • [2] A. Aluthge, Some generalized theorems on p-hyponormal operators, Integr. Equat. Oper. Th. 24 (1996), 497-501.
  • [3] A. Aluthge and D. Wang, The joint approximate point spectrum of an operator, Hokkaido Math. J. 31 (2002), 187-197.
  • [4] T. Ando, Operators with a norm condition, Acta Sci. Math. 33 (1972), 169-178.
  • [5] M. Chō, Spectral properties of p-hyponormal operators, Glasgow Math. J. 36 (1994), 117-122.
  • [6] M. Chō and T. Huruya, p-hyponormal operators for 1 < p < ½, Comment. Math. Prace Matem. 33 (1993), 23-29.
  • [7] M. Chō and M. Itoh, Putnam’s inequality for p-hyponormal operators, Proc. Amer. Math. Soc. 123 (1995), 2435-2440.
  • [8] A. T. Dash, Joint essential spectra, Pacific J. Math. 64 (1976), 119-128.
  • [9] B. P. Duggal, On a superclass of p-hyponormal operators, Hokkaido Math. J. 25 (1996), 97-106.
  • [10] R. E. Harte, Spectral mapping theorems, Proc. Roy. Irish Acad. Sect. A 72 (1972), 89-107.
  • [11] A. G. R. McIntosh and A. J. Pryde, The solution of systems of operator equations using Clifford algebras, Proc. Centre Math. Anal. Austral. Nat. Univ. 9 (1985), 212-220.
  • [12] A. G. R. McIntosh and A. J. Pryde, A functional calculus for several commuting operators, Indiana Univ. Math. J. 36 (1987), 421-439.
  • [13] A. G. R. McIntosh, A. J. Pryde, and W. J. Ricker, Comparison of joint spectra for certain classes of commuting operators, Studia Math. 88 (1988), 23-36.
  • [14] S. M. Patel, A note on p-hyponormal operators for 0 < p < 1, Integr. Equat. Oper. Th. 21 (1995), 498-503.
  • [15] A. J. Pryde and A. Sołtysiak, Joint spectra of non-commuting normal operators Bull. Austral. Math. Soc. 48 (1993), 163-170.
  • [16] A. Sołtysiak, On joint spectra of non-commuting hyponormal operators, Bull. Austral. Math. Soc. 64 (2001), 131-136.
  • [17] K. Tanahashi, On log-hyponormal operators, Integr. Equat. Oper. Th. 34 (1999), 364-372.
  • [18] K. Tanahashi, Putnam’s inequality for log-hyponormal operators, Integr. Equat. Oper. Th., to appear.
  • [19] D. Xia, On the nonnormal operators - semihyponormal operators, Sci. Sinica 23 (1980), 700-713.
  • [20] D. Xia, Spectral Theory of Hyponormal Operators, Birkhäuser Verlag, Basel 1983.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0002-0063
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