Subnormal operators of Hardy type

K. Rudol

Banach Center Publications (1997)

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

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Rudol, 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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  1. [AD1] 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. [AD2] M. B. Abrahamse and R. G. Douglas, Operators on multiply connected domains, Proc. Roy. Irish Acad. 74 (1974), 135-141. Zbl0302.47009
  3. [AK] M. B. Abrahamse and T. Kriete, The spectral multiplicity of a multiplication operator, Indiana Univ. Math. J. 22 (1973), 845-857. Zbl0259.47031
  4. [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
  5. [G] T. W. Gamelin, Uniform Algebras, Prentice Hall, Englewood Cliffs, N.J., 1969. Zbl0213.40401
  6. [H] M. Hasumi, Hardy Classes on Infinitely Connected Riemann Surfaces, Lecture Notes in Math. 1027, Springer, 1983. Zbl0523.30028
  7. [M] W. Mlak, Szegő measures related to plane sets, Comment. Math., Tomus spec. in honorem L. Orlicz 1 (1978), 239-249. Zbl0445.46037
  8. [P] C. Pommerenke, Boundary Behaviour of Conformal Maps, Springer, 1992. Zbl0762.30001
  9. [R1] K. Rudol, The functional model for a class of subnormal operators, Bull. Polish Acad. Sci. Math. 30 (1982), 71-77. 
  10. [R2] K. Rudol, The generalised Wold Decomposition for subnormal operators, Integral Equations Operator Theory 11 (1988), 420-436. 
  11. [R3] K. Rudol, On bundle shifts and cluster sets, ibid. 12 (1989), 444-448. 
  12. [R4] K. Rudol, A model for some analytic Toeplitz operators, Studia Math. 100 (1991), 81-86. 
  13. [R5] K. Rudol, Spectra of subnormal Hardy type operators, Ann. Polon. Math. 65 (1997), 213-222. 
  14. [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
  15. [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
  16. [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. 
  17. [Y] D. V. Yakubovich, Riemann surface models of Toeplitz operators, in: Oper. Theory Adv. Appl. 42, Birkhäuser, 1989, 305-415. 
  18. [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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