书目名称 | Strong Limit Theorems in Noncommutative L2-Spaces |
编辑 | Ryszard Jajte |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc. The proofs introduce new techniques in von Neumann algebras. The reader is assumed to master the fundamentals of functional analysis and probability. The book is written mainly for mathematicians and physicists familiar with probability theory and interested in applications of operator algebras to quantum statistical mechanics. |
出版日期 | Book 1991 |
关键词 | Ergodic theorems; Limit theorems; Martingale; Probability theory; Von Neumann algebra; functional analysi |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0098424 |
isbn_softcover | 978-3-540-54214-8 |
isbn_ebook | 978-3-540-47512-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1991 |