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

*- Paperback*

ISBN: 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*

2014, ISBN: 9780821834329

ID: 772016149

México, D.F. : Miguel Angel Porrua/UAEM, 2014. Soft cover. New/No Jacket., Miguel Angel Porrua/UAEM, 2014, Lid Publishing. PAPERBACK. 8483569582 . New. 2013., Lid Publishing, 2013, San José, Poder Judicial, 2002., San JosPoder Judicial, 2002, Amer Mathematical Society. PAPERBACK. 0821834320 **NEW**Factory sealed. Number 791. Book is in excellent condition, binding tight, pages crisp & clean. No remainder marks. Shipped with delivery confirmation inside US. *p/$KK5-33 . New., Amer Mathematical Society

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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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** 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 12.11.2016 18:15:27

ISBN/EAN: 0821834320

ISBN - alternate spelling:

0-8218-3432-0, 978-0-8218-3432-9

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