An Introduction To Linear Transformations In Hilbert Space Reprinted With The Permission Of The Original Publishers
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| Author | : S. Grivaux |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 147 |
| Release | : 2021-06-21 |
| Genre | : Education |
| ISBN | : 1470446634 |
We solve a number of questions pertaining to the dynamics of linear operators on Hilbert spaces, sometimes by using Baire category arguments and sometimes by constructing explicit examples. In particular, we prove the following results. (i) A typical hypercyclic operator is not topologically mixing, has no eigen-values and admits no non-trivial invariant measure, but is densely distri-butionally chaotic. (ii) A typical upper-triangular operator with coefficients of modulus 1 on the diagonal is ergodic in the Gaussian sense, whereas a typical operator of the form “diagonal with coefficients of modulus 1 on the diagonal plus backward unilateral weighted shift” is ergodic but has only countably many unimodular eigenvalues; in particular, it is ergodic but not ergodic in the Gaussian sense. (iii) There exist Hilbert space operators which are chaotic and U-frequently hypercyclic but not frequently hypercyclic, Hilbert space operators which are chaotic and frequently hypercyclic but not ergodic, and Hilbert space operators which are chaotic and topologically mixing but not U-frequently hypercyclic. We complement our results by investigating the descriptive complexity of some natural classes of operators defined by dynamical properties.
| Author | : Francis Joseph Murray |
| Publisher | : |
| Total Pages | : 160 |
| Release | : 1940 |
| Genre | : Hyperspace |
| ISBN | : |
| Author | : Phillip Kaye |
| Publisher | : Oxford University Press |
| Total Pages | : 287 |
| Release | : 2007 |
| Genre | : Computers |
| ISBN | : 0198570007 |
The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises.
| Author | : F. V. Atkinson |
| Publisher | : |
| Total Pages | : 232 |
| Release | : 1972 |
| Genre | : Differential equations |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 494 |
| Release | : 1997 |
| Genre | : Astrophysics |
| ISBN | : |
| Author | : Erwin Kreyszig |
| Publisher | : John Wiley & Sons |
| Total Pages | : 706 |
| Release | : 1991-01-16 |
| Genre | : Mathematics |
| ISBN | : 0471504599 |
KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry
| Author | : David G. Luenberger |
| Publisher | : John Wiley & Sons |
| Total Pages | : 348 |
| Release | : 1997-01-23 |
| Genre | : Technology & Engineering |
| ISBN | : 9780471181170 |
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
| Author | : Michael Reed |
| Publisher | : Gulf Professional Publishing |
| Total Pages | : 417 |
| Release | : 1980 |
| Genre | : Functional analysis |
| ISBN | : 0125850506 |
"This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.
| Author | : Gilbert Strang |
| Publisher | : |
| Total Pages | : 487 |
| Release | : 2006 |
| Genre | : Algebras, Linear |
| ISBN | : 9780534422004 |
Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.
| Author | : |
| Publisher | : |
| Total Pages | : 2410 |
| Release | : 1980 |
| Genre | : Monographic series |
| ISBN | : |
