The Role of the Spectrum in the Cyclic Behavior of Composition Operators (Memoirs of the American Mathematical Society) - Paperback
2004, ISBN: 9780821834329
ID: 319261241
American Mathematical Society, 2004-01. Paperback. New. Brand new. We distribute directly for the publisher. 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 hypercyclic. 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 hypercyclic. 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-off., American Mathematical Society, 2004-01
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Eva A. Gallardo - Gutierrez, Alfonso Montes - Rodriguez:
The Role of the Spectrum in the Cyclic Behavior of Composition Operators (Memoirs of the American Mathematical Society) - PaperbackISBN: 0821834320
[SR: 8542504], Paperback, [EAN: 9780821834329], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], 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
2004
ISBN: 9780821834329
ID: 458354343
Amer Mathematical Society, 2004-01. Paperback. Used:Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. Expedite Shipping Available., Amer Mathematical Society, 2004-01
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ISBN: 9780821834329
ID: 9780821834329
The Role of the Spectrum in the Cyclic Behavior of Composition Operators Role-of-the-Spectrum-in-the-Cyclic-Behavior-of-Composition-Operators~~Eva-A-Gallardo-Gutierrez Science/Tech>Mathematics>Mathematics Paperback, American Mathematical Society
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Title: | Role of the Spectrum in the Cyclic Behavior of Composition Operators |
ISBN: | 9780821834329 |
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 25.03.2016 20:19:53
ISBN/EAN: 9780821834329
ISBN - alternate spelling:
0-8218-3432-0, 978-0-8218-3432-9
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