# Spectra of subnormal Hardy type operators

Annales Polonici Mathematici (1997)

- Volume: 65, Issue: 3, page 213-222
- ISSN: 0066-2216

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topK. Rudol. "Spectra of subnormal Hardy type operators." Annales Polonici Mathematici 65.3 (1997): 213-222. <http://eudml.org/doc/270014>.

@article{K1997,

abstract = {The essential spectrum of bundle shifts over Parreau-Widom domains is studied. Such shifts are models for subnormal operators of special (Hardy) type considered earlier in [AD], [R1] and [R2]. By relating a subnormal operator to the fiber of the maximal ideal space, an application to cluster values of bounded analytic functions is obtained.},

author = {K. Rudol},

journal = {Annales Polonici Mathematici},

keywords = {subnormal operators; Hardy classes; function algebras; essential spectrum; bundle shifts over Parreau-Widom; fiber of the maximal ideal space},

language = {eng},

number = {3},

pages = {213-222},

title = {Spectra of subnormal Hardy type operators},

url = {http://eudml.org/doc/270014},

volume = {65},

year = {1997},

}

TY - JOUR

AU - K. Rudol

TI - Spectra of subnormal Hardy type operators

JO - Annales Polonici Mathematici

PY - 1997

VL - 65

IS - 3

SP - 213

EP - 222

AB - The essential spectrum of bundle shifts over Parreau-Widom domains is studied. Such shifts are models for subnormal operators of special (Hardy) type considered earlier in [AD], [R1] and [R2]. By relating a subnormal operator to the fiber of the maximal ideal space, an application to cluster values of bounded analytic functions is obtained.

LA - eng

KW - subnormal operators; Hardy classes; function algebras; essential spectrum; bundle shifts over Parreau-Widom; fiber of the maximal ideal space

UR - http://eudml.org/doc/270014

ER -

## References

top- [AD] 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
- [AK] M. B. Abrahamse and T. Kriete, The spectral multiplicity of a multiplication operator, Indiana Univ. Math. J. 22 (1973), 845-857. Zbl0259.47031
- [C] J. B. Conway, Subnormal Operators, Pitman, Boston, 1981.
- [C1] J. B. Conway, Spectral properties of certain operators on Hardy spaces of planar domains, Integral Equations Operator Theory 10 (1987), 659-706. Zbl0658.47028
- [Cu] J. Cufi, ${H}^{\infty}+C$ in several variables, Collect. Math. 23 (1982), 109-123.
- [G] T. W. Gamelin, Uniform Algebras, Prentice-Hall, Englewood Cliffs, N.J., 1969. Zbl0213.40401
- [G1] T. W. Gamelin, Iversen's Theorem and fiber algebras, Pacific J. Math. 46 (1973), 389-414. Zbl0237.46059
- [M] W. Mlak, Szegő measures related to plane sets, Comment. Math., Tomus spec. in honorem L. Orlicz 1 (1978), 239-249. Zbl0445.46037
- [R] K. Rudol, On spectral mapping theorems, J. Math. Anal. Appl. 97 (1983), 131-139. Zbl0526.47006
- [R0] K. Rudol, Spectral mapping theorems for analytic functional calculi, in: Adv. in Invariant Subspaces and Other Results of Operator Theory, R. G. Douglas et al. (eds.), Oper. Theory: Adv. Appl. 17, Birkhäuser, 1986, 331-340.
- [R1] K. Rudol, The generalised Wold Decomposition for subnormal operators, Integral Equations Operator Theory 11 (1988), 420-436.
- [R2] K. Rudol, Subnormal operators of Hardy type, in: Banach Center Publ. 38, Inst. Math., Polish Acad. Sci., 1997, 315-324.
- [S] M. V. Samokhin, Some classical problems of analytic functions theory in Parreau-Widom domains, Mat. Sb. 182 (1991), 892-910 (in Russian). Zbl0761.30020
- [S1] M. V. Samokhin, On limit properties of bounded holomorphic functions and maximum modulus principle in domains of arbitrary connectivity, Mat. Sb. 135 (1988), 497-513 (in Russian). Zbl0663.30028
- [W] H. Widom, ${H}^{p}$ sections of vector bundles over Riemann surfaces, Ann. of Math. 94 (1971), 304-324. Zbl0238.32014

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