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Essential spectra of weighted composition operators with hyperbolic symbols

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paperwe study both the spectra and the essential spectra ofweighted composition operators on Hardy spaces Hp(ⅅ), standard weighted Bergman spaces Apα(ⅅ) and weighted H∞1-type spaces when the symbols are of hyperbolic type
Wydawca
Czasopismo
Rocznik
Tom
2
Numer
1
Opis fizyczny
Daty
otrzymano
2015-04-08
zaakceptowano
2015-08-07
online
2015-08-21
Twórcy
  • Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
  • Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
Bibliografia
  • [1] Y.A. Abramovich, C.D. Aliprantis, An invitation to operator theory, Graduate Studies inMathematics, Vol. 50, AmericanMathematicalSociety, Rhode Island, 2002.
  • [2] K. Bierstedt, W. Summers, Biduals of weighted Banach spaces of analytic functions, J. Austral. Math. Soc. Ser. A 54 (1993),70–79.
  • [3] J. Bonet, P. Domanski, M. Lindström, Weakly compact composition operators on analytic vector-valued function spaces,Ann. Acad. Sci. Fenn. Math. 26 (2001), 233–248.
  • [4] P. Bourdon, Spectra of some composition operators and associated weighted composition operators, J. Operator Theory 67(2012), 537–560.
  • [5] P. Bourdon, Spectra of composition operators with symbols in S(2), arXiv:1401.2680 [math.FA]
  • [6] C. Cowen, Composition operators on H2, J. Operator Theory 9 (1983), 77–106.
  • [7] C. Cowen, B. MacCluer, Composition operators on spaces of analytic functions, CRC Press, Boca Raton, 1995.
  • [8] C. Cowen, E. Ko, D. Thompson, F. Tian, Spectra of some weighted composition operators on H2, arXiv:1405.5173 [math.FA]
  • [9] P. Domanski, M. Lindström, Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions, Ann.Polon. Math. 79 (2002), 233–264.
  • [10] P.L. Duren, Theory of Hp spaces, Academic Press, 1970.
  • [11] P.L. Duren, A. Schuster, Bergman spaces,Mathematical Surveys and Monographs Vol. 100, AmericanMathematical Society,2004.
  • [12] G. Gunatillake, Invertible weighted composition operators, J. Funct. Anal. 261 (2011), 831–860.
  • [13] H. Hedenmalm, B. Korenblum, K. Zhu, Theory of Bergman spaces, Springer, 2000.
  • [14] O. Hyvärinen, M. Lindström, I. Nieminen, E. Saukko, Spectra of weighted composition operators with automorphic symbols,J. Funct. Anal. 265 (2013), 1749–1777.
  • [15] H. Kamowitz, The spectra of a class of operators on the disc algebra, Indiana Univ. Math. J. 27 (1978), 581–610.
  • [16] M. Möller, On the essential spectrum of a class of operators in Hilbert space, Math. Nachr. 194 (1998), 185–196.
  • [17] V. Müller, Spectral theory of linear operators, Birkhäuser, 2003.
  • [18] J.H. Shapiro, Composition operators and classical function theory, Springer, 1993.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_conop-2015-0006
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