Spectra of subnormal Hardy type operators

• Autorzy: K. Rudol
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

subnormal operators; Hardy classes; function algebras

Kategorie tematyczne

• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 3
• Strony: 213-222

Daty

wydano

1997

otrzymano

1996-01-03

poprawiono

1996-04-10

Twórcy

autor

K. Rudol

• Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza, 30 31-207 Kraków, Poland

Bibliografia

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• [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.
• [Cu] J. Cufi, $H^∞ + C$ in several variables, Collect. Math. 23 (1982), 109-123.
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• [G1] T. W. Gamelin, Iversen's Theorem and fiber algebras, Pacific J. Math. 46 (1973), 389-414.
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• [R] K. Rudol, On spectral mapping theorems, J. Math. Anal. Appl. 97 (1983), 131-139.
• [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).
• [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).
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