Operators of Class $C_0$ with Spectra in Multiply Connected Regions PDF Download
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Author: Adele Zucchi
Publisher: American Mathematical Soc.
ISBN: 0821806262
Category : Mathematics
Languages : en
Pages : 66
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Book Description
In the present paper the author studies the analogue of the class [italic capital]C0 within a class of operators having a functional calculus based on the algebra of bounded holomorphic functions in a finitely connected domain with an analytic boundary. The latter class consists of the operators having the closure of the domain as a spectral set and having no normal direct summands with spectra contained in the boundary of the domain. (If the domain is the disk the preceding class reduces to the class of completely nonunitary contractions.) The basic properties known for the case of the disk, including the model theory, are established. The extension, even the mere construction of the functional calculus, is not routine, in part because it is unknown whether the analogue of Sz.-Nagy's dilation theorem is true in the author's multiply connected setting.
Author: Adele Zucchi
Publisher: American Mathematical Soc.
ISBN: 0821806262
Category : Mathematics
Languages : en
Pages : 66
Get Book Here
Book Description
In the present paper the author studies the analogue of the class [italic capital]C0 within a class of operators having a functional calculus based on the algebra of bounded holomorphic functions in a finitely connected domain with an analytic boundary. The latter class consists of the operators having the closure of the domain as a spectral set and having no normal direct summands with spectra contained in the boundary of the domain. (If the domain is the disk the preceding class reduces to the class of completely nonunitary contractions.) The basic properties known for the case of the disk, including the model theory, are established. The extension, even the mere construction of the functional calculus, is not routine, in part because it is unknown whether the analogue of Sz.-Nagy's dilation theorem is true in the author's multiply connected setting.
Author: Adele Zucchi
Publisher: American Mathematical Society(RI)
ISBN: 9781470401924
Category : MATHEMATICS
Languages : en
Pages : 66
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Book Description
This book is intended for research mathematicians.
Author: Adele Zucci
Publisher:
ISBN:
Category :
Languages : en
Pages : 260
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Book Description
Author: Adele Zucchi
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
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Book Description
Author: Xia Chen
Publisher: American Mathematical Soc.
ISBN: 082181060X
Category : Mathematics
Languages : en
Pages : 225
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Book Description
This book is intended for graduate students and research mathematicians working probability theory and statistics.
Author: Shouchuan Hu
Publisher: American Mathematical Soc.
ISBN: 082180779X
Category : Mathematics
Languages : en
Pages : 97
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Book Description
This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analysed.
Author: Florin Rădulescu
Publisher: American Mathematical Soc.
ISBN: 0821807528
Category : Mathematics
Languages : en
Pages : 85
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Book Description
This book is intended for graduate students, research mathematicians, and mathematical physicists working in operator algebras.
Author: Yuval Zvi Flicker
Publisher: American Mathematical Soc.
ISBN: 0821809598
Category : Mathematics
Languages : en
Pages : 127
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Book Description
The trace formula is the most powerful tool currently available to establish liftings of automorphic forms, as predicted by Langlands principle of functionality. The geometric part of the trace formula consists of orbital integrals, and the lifting is based on the fundamental lemma. The latter is an identity of the relevant orbital integrals for the unit elements of the Hecke algebras. This volume concerns a proof of the fundamental lemma in the classically most interesting case of Siegel modular forms, namely the symplectic group Sp(2). These orbital integrals are compared with those on GL(4), twisted by the transpose inverse involution. The technique of proof is elementary. Compact elements are decomposed into their absolutely semi-simple and topologically unipotent parts also in the twisted case; a double coset decomposition of the form H\ G/K--where H is a subgroup containing the centralizer--plays a key role.
Author: Brian Hayward Bowditch
Publisher: American Mathematical Soc.
ISBN: 0821810030
Category : Mathematics
Languages : en
Pages : 101
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Book Description
This book is intended for graduate students and research mathematicians working in group theory and generalizations
Author: Ronnie Lee
Publisher: American Mathematical Soc.
ISBN: 0821806203
Category : Mathematics
Languages : en
Pages : 90
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Book Description
Enthält: The Siegel modular variety of degree two and level four / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub.
