# Subnormal operators of Hardy type

Banach Center Publications (1997)

- Volume: 38, Issue: 1, page 315-324
- ISSN: 0137-6934

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topRudol, K.. "Subnormal operators of Hardy type." Banach Center Publications 38.1 (1997): 315-324. <http://eudml.org/doc/208638>.

@article{Rudol1997,

author = {Rudol, K.},

journal = {Banach Center Publications},

keywords = {spectrum; Hardy spaces; harmonic measure; subnormal operator; minimal normal extension; bundle shift; Toeplitz operator; spectral inclusion theorem; flat unitary bundle; holomorphic cross-sections; harmonic majorant; Parreau-Widom type domain},

language = {eng},

number = {1},

pages = {315-324},

title = {Subnormal operators of Hardy type},

url = {http://eudml.org/doc/208638},

volume = {38},

year = {1997},

}

TY - JOUR

AU - Rudol, K.

TI - Subnormal operators of Hardy type

JO - Banach Center Publications

PY - 1997

VL - 38

IS - 1

SP - 315

EP - 324

LA - eng

KW - spectrum; Hardy spaces; harmonic measure; subnormal operator; minimal normal extension; bundle shift; Toeplitz operator; spectral inclusion theorem; flat unitary bundle; holomorphic cross-sections; harmonic majorant; Parreau-Widom type domain

UR - http://eudml.org/doc/208638

ER -

## References

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- [P] C. Pommerenke, Boundary Behaviour of Conformal Maps, Springer, 1992. Zbl0762.30001
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- [R2] K. Rudol, The generalised Wold Decomposition for subnormal operators, Integral Equations Operator Theory 11 (1988), 420-436.
- [R3] K. Rudol, On bundle shifts and cluster sets, ibid. 12 (1989), 444-448.
- [R4] K. Rudol, A model for some analytic Toeplitz operators, Studia Math. 100 (1991), 81-86.
- [R5] K. Rudol, Spectra of subnormal Hardy type operators, Ann. Polon. Math. 65 (1997), 213-222.
- [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, ibid. 135 (1988), 497-513 (in Russian). Zbl0663.30028
- [SP] J. Spraker, The minimal normal extension for ${M}_{z}$ on the Hardy space of a planar domain, Trans. Amer. Math. Soc. 318 (1990), 57-67.
- [Y] D. V. Yakubovich, Riemann surface models of Toeplitz operators, in: Oper. Theory Adv. Appl. 42, Birkhäuser, 1989, 305-415.
- [Y1] D. V. Yakubovich, Dual piecewise analytic bundle shift models of linear operators, J. Funct. Anal. 136 (1996), 294-330. Zbl0867.47010

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