# A model for some analytic Toeplitz operators

Studia Mathematica (1991)

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

## Access Full Article

top## Abstract

top## How to cite

topRudol, 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

top- [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] M. B. Abrahamse and T. Kriete, The spectral multiplicity of a multiplication operator, Indiana Univ. Math. J. 22 (1973), 845-857. Zbl0259.47031
- [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] C. C. Cowen, On equivalence of Teoplitz operators, J. Operator Theory 7 (1982), 167-172. Zbl0489.47012
- [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. Zbl0323.47018
- [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. Zbl0645.47021
- [9] K. Rudol, On the bundle shifts and cluster sets, ibid. 12 (1989), 444-448. Zbl0685.47024
- [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] D. V. Yakubovich, Riemann surface models of Toeplitz operators, in: Operator Theory: Adv. Appl. 42, Birkhäuser, 1989, 305-415.

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.