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The Role of the Spectrum in the Cyclic Behavior of Composition Operators (Memoirs of the American Mathematical Society) - Paperback

2003, ISBN: 0821834320

[SR: 10054765], Paperback, [EAN: 9780821834329], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], 2003-12-30, American Mathematical Society, 278339, Complex Analysis, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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The Role of the Spectrum in the Cyclic Behavior of Composition Operators (Memoirs of the American Mathematical Society) - Paperback

ISBN: 0821834320

Taschenbuch, [EAN: 9780821834329], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, 56217011, Mathematische Analyse, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56246011, Infinitesimalrechnung, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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The Role of the Spectrum in the Cyclic Behavior of Composition Operators (Memoirs of the American Mathematical Society) - Paperback

ISBN: 0821834320

Taschenbuch, [EAN: 9780821834329], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, 56217011, Mathematische Analyse, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56246011, Infinitesimalrechnung, 56230011, Reine Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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The Role of the Spectrum in the Cyclic Behavior of Composition Operators (Memoirs of the American Mathematical Society) - Paperback

2004, ISBN: 9780821834329

ID: 587893430

Amer Mathematical Society, 2004-01-01. Paperback. Used:Good., Amer Mathematical Society, 2004-01-01

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The Role of the Spectrum in the Cyclic Behavior of Composition Operators (Memoirs of the American Mathematical Society) - Paperback

2004, ISBN: 0821834320

ID: 22559584491

[EAN: 9780821834329], [PU: Amer Mathematical Society], Books

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## 9780821834329

A bounded operator $T$ acting on a Hilbert space $\\mathcal H$ is called cyclic if there is a vector $x$ such that the linear span of the orbit $\\{T^n x: n \\geq 0 \\}$ is dense in $\\mathcal H$. If the scalar multiples of the orbit are dense, then $T$ is called supercyclic. Finally, if the orbit itself is dense, then $T$ is called hyper cyclic. We completely characterize the cyclicity, the supercyclicity and the hypercyclicity of scalar multiples of composition operators, whose symbols are linear fractional maps, acting on weighted Dirichlet spaces. Particular instances of these spaces are the Bergman space, the Hardy space, and the Dirichlet space.Thus, we complete earlier work on cyclicity of linear fractional composition operators on these spaces. In this way, we find exactly the spaces in which these composition operators fail to be cyclic, supercyclic or hyper cyclic. Consequently, we answer some open questions posed by Zorboska. In almost all the cases, the cut-off of cyclicity, supercyclicity or hypercyclicity of scalar multiples is determined by the spectrum. We will find that the Dirichlet space plays a critical role in the cut

Details of the book - Role of the Spectrum in the Cyclic Behavior of Composition Operators

EAN (ISBN-13): 9780821834329
ISBN (ISBN-10): 0821834320
Paperback
Publishing year: 2003
Publisher: American Mathematical Society

Book in our database since 10.12.2013 06:51:54
Book found last time on 03.01.2018 18:50:54
ISBN/EAN: 9780821834329

ISBN - alternate spelling:
0-8218-3432-0, 978-0-8218-3432-9

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