Means of Hilbert Space Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Means of Hilbert Space Operators write by Fumio Hiai. This book was released on 2003-12-09. Means of Hilbert Space Operators available in PDF, EPUB and Kindle. The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.
Means of Hilbert Space Operators
Means of Hilbert Space Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Means of Hilbert Space Operators write by Fumio Hiai. This book was released on 2002. Means of Hilbert Space Operators available in PDF, EPUB and Kindle.
Numerical Ranges of Hilbert Space Operators
Numerical Ranges of Hilbert Space Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Ranges of Hilbert Space Operators write by Hwa-Long Gau. This book was released on 2021-08-05. Numerical Ranges of Hilbert Space Operators available in PDF, EPUB and Kindle. Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are numerous comments and references, allowing you to discover related developments and to pursue areas of interest in the literature. Also included is an appendix on basic convexity properties on the Euclidean space. Targeted at graduate students as well as researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works on the numerical range theory. It serves as an accessible entry point into this lively and exciting research area.
A Glimpse at Hilbert Space Operators
A Glimpse at Hilbert Space Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Glimpse at Hilbert Space Operators write by Sheldon Axler. This book was released on 2011-04-13. A Glimpse at Hilbert Space Operators available in PDF, EPUB and Kindle. Paul Richard Halmos, who lived a life of unbounded devotion to mathematics and to the mathematical community, died at the age of 90 on October 2, 2006. This volume is a memorial to Paul by operator theorists he inspired. Paul’sinitial research,beginning with his 1938Ph.D. thesis at the University of Illinois under Joseph Doob, was in probability, ergodic theory, and measure theory. A shift occurred in the 1950s when Paul’s interest in foundations led him to invent a subject he termed algebraic logic, resulting in a succession of papers on that subject appearing between 1954 and 1961, and the book Algebraic Logic, published in 1962. Paul’s ?rst two papers in pure operator theory appeared in 1950. After 1960 Paul’s research focused on Hilbert space operators, a subject he viewed as enc- passing ?nite-dimensional linear algebra. Beyond his research, Paul contributed to mathematics and to its community in manifold ways: as a renowned expositor, as an innovative teacher, as a tireless editor, and through unstinting service to the American Mathematical Society and to the Mathematical Association of America. Much of Paul’s in?uence ?owed at a personal level. Paul had a genuine, uncalculating interest in people; he developed an enormous number of friendships over the years, both with mathematicians and with nonmathematicians. Many of his mathematical friends, including the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, learned from his advice and his example what it means to be a mathematician.
Operator Analysis
Operator Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Operator Analysis write by Jim Agler. This book was released on 2020-03-26. Operator Analysis available in PDF, EPUB and Kindle. This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.
