Dynamics of Linear Operators: Cambridge Tracts in Mathematics, cartea 179
Autor Frédéric Bayart, Étienne Matheronen Limba Engleză Hardback – 3 iun 2009
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Specificații
ISBN-13: 9780521514965
ISBN-10: 0521514967
Pagini: 352
Ilustrații: 105 exercises
Dimensiuni: 152 x 234 x 25 mm
Greutate: 0.62 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521514967
Pagini: 352
Ilustrații: 105 exercises
Dimensiuni: 152 x 234 x 25 mm
Greutate: 0.62 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics
Locul publicării:Cambridge, United Kingdom
Cuprins
Introduction; 1. Hypercyclic and supercyclic operators; 2. Hypercyclicity everywhere; 3. Connectedness and hypercyclicity; 4. Weakly mixing operators; 5. Ergodic theory and linear dynamics; 6. Beyond hypercyclicity; 7. Common hypercyclic vectors; 8. Hypercyclic subspaces; 9. Supercyclicity and the angle criterion; 10. Linear dynamics and the weak topology; 11. Universality of the Riemann zeta function; 12. About 'the' Read operator; Appendices; Notations; Index; Bibliography.
Recenzii
'The beginning of each chapter sets the stage for what is to follow and each concludes with detailed comments, notes, references and a carefully selected list of problems. These serve the reader well, providing historical motivation as well as resources for further work … the book … is well developed, the material is well motivated and the selected topics that are explained include original results along with important simplifications of proofs from the existing research literature. The book has an extensive list of references covering the topics discussed, making it an excellent guide for students of the subject … this well-written book is a valuable resource for anyone working in Operator Theory, but is also accessible to anyone with a reasonable background in functional analysis at the graduate level.' Mathematical Reviews
Notă biografică
Descriere
The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators.