Warianty tytułu
Języki publikacji
Abstrakty
We present a change of variable method and use it to prove the equivalence to bundle shifts for certain analytic Toeplitz operators on the Banach spaces $H^p(G) (1 ≤ p < ∞)$. In Section 2 we see this approach applied in the analysis of essential spectra. Some partial results were obtained in [9] in the Hilbert space case.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
81-86
Opis fizyczny
Daty
wydano
1991
otrzymano
1990-12-12
Twórcy
autor
- Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland
Bibliografia
- [1] M. B. Abrahamse and R. G. Douglas, A class of subnormal operators related to multiply connected domains, Adv. in Math. 19 (1976), 106-148.
- [2] M. B. Abrahamse and T. Kriete, The spectral multiplicity of a multiplication operator, Indiana Univ. Math. J. 22 (1973), 845-857.
- [3] J. B. Conway, Spectral properties of certain operators on Hardy spaces of domains, Integral Equations Operator Theory 10 (1987), 659-706.
- [4] C. C. Cowen, On equivalence of Teoplitz operators, J. Operator Theory 7 (1982), 167-172.
- [5] H. Helson, Lectures on Invariant Subspaces, Academic Press, 1964.
- [6] R. F. Olin, Functional relationships between a subnormal operator and its minimal normal extension, Pacific J. Math. 63 (1976), 221-229.
- [7] K. Rudol, Spectral mapping theorems for analytic functional calculi, in: Operator Theory: Adv. Appl. 17, Birkhäuser, 1986, 331-340.
- [8] K. Rudol, The generalised Wold Decomposition for subnormal operators, Integral Equations Operator Theory 11 (1988), 420-436.
- [9] K. Rudol, On the bundle shifts and cluster sets, ibid. 12 (1989), 444-448.
- [10] J. Spraker, The minimal normal extensions for $M_z$ on the Hardy space of a planar region, Trans. Amer. Math. Soc. 318 (1990), 57-67.
- [11] D. V. Yakubovich, Riemann surface models of Toeplitz operators, in: Operator Theory: Adv. Appl. 42, Birkhäuser, 1989, 305-415.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-smv100i1p81bwm