A model for some analytic Toeplitz operators

K. Rudol

Studia Mathematica (1991)

  • Volume: 100, Issue: 1, page 81-86
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Rudol, K.. "A model for some analytic Toeplitz operators." Studia Mathematica 100.1 (1991): 81-86. <http://eudml.org/doc/215875>.

@article{Rudol1991,
abstract = {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.},
author = {Rudol, K.},
journal = {Studia Mathematica},
keywords = {Hardy space; change of variable; isometrically equivalent to a bundle shift; essential spectra},
language = {eng},
number = {1},
pages = {81-86},
title = {A model for some analytic Toeplitz operators},
url = {http://eudml.org/doc/215875},
volume = {100},
year = {1991},
}

TY - JOUR
AU - Rudol, K.
TI - A model for some analytic Toeplitz operators
JO - Studia Mathematica
PY - 1991
VL - 100
IS - 1
SP - 81
EP - 86
AB - 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.
LA - eng
KW - Hardy space; change of variable; isometrically equivalent to a bundle shift; essential spectra
UR - http://eudml.org/doc/215875
ER -

References

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  1. [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. Zbl0321.47019
  2. [2] M. B. Abrahamse and T. Kriete, The spectral multiplicity of a multiplication operator, Indiana Univ. Math. J. 22 (1973), 845-857. Zbl0259.47031
  3. [3] J. B. Conway, Spectral properties of certain operators on Hardy spaces of domains, Integral Equations Operator Theory 10 (1987), 659-706. Zbl0658.47028
  4. [4] C. C. Cowen, On equivalence of Teoplitz operators, J. Operator Theory 7 (1982), 167-172. Zbl0489.47012
  5. [5] H. Helson, Lectures on Invariant Subspaces, Academic Press, 1964. 
  6. [6] R. F. Olin, Functional relationships between a subnormal operator and its minimal normal extension, Pacific J. Math. 63 (1976), 221-229. Zbl0323.47018
  7. [7] K. Rudol, Spectral mapping theorems for analytic functional calculi, in: Operator Theory: Adv. Appl. 17, Birkhäuser, 1986, 331-340. 
  8. [8] K. Rudol, The generalised Wold Decomposition for subnormal operators, Integral Equations Operator Theory 11 (1988), 420-436. Zbl0645.47021
  9. [9] K. Rudol, On the bundle shifts and cluster sets, ibid. 12 (1989), 444-448. Zbl0685.47024
  10. [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. Zbl0704.47019
  11. [11] D. V. Yakubovich, Riemann surface models of Toeplitz operators, in: Operator Theory: Adv. Appl. 42, Birkhäuser, 1989, 305-415. 

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