| 书目名称 | Harmonic Analysis of Operators on Hilbert Space |
| 编辑 | Béla Sz.-Nagy,Ciprian Foias,László Kérchy |
| 视频video | |
| 概述 | Fully updated and revised second edition.Explores harmonic analysis techniques for the study of the mathematical concept of Hilbert space.Focusing mainly on operator theories and developments, the tex |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done inthis direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory...This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly tozero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition. |
| 出版日期 | Textbook 2010Latest edition |
| 关键词 | Functional Calculus; Hilbert Space; Invariant Subspaces; Operator Valued Analytic Functions; Unitary Dil |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4419-6094-8 |
| isbn_softcover | 978-1-4419-6093-1 |
| isbn_ebook | 978-1-4419-6094-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer Science+BusinessMedia, LLC 2010 |
发表于 2025-3-21 17:39:43
