libcats.org
Главная

Mathematical quantization

Обложка книги Mathematical quantization

Mathematical quantization

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a variety of topics.Detailed here for the first time, the fundamental idea of mathematical quantization is that sets are replaced by Hilbert spaces. Building on this idea, and most importantly on the fact that scalar-valued functions on a set correspond to operators on a Hilbert space, one can determine quantum analogs of a variety of classical structures. In particular, because topologies and measure classes on a set can be treated in terms of scalar-valued functions, we can transfer these constructions to the quantum realm, giving rise to C*- and von Neumann algebras.In the first half of the book, the author quickly builds the operator algebra setting. He uses this as a unifying theme in the second half, in which he treats several active research topics, some for the first time in book form. These include the quantum plane and tori, operator spaces, Hilbert modules, Lipschitz algebras, and quantum groups.For graduate students, Mathematical Quantization offers an ideal introduction to a research area of great current interest. For professionals in operator algebras and functional analysis, it provides a readable tour of the current state of the field.
EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:

Станислав Гимадеев. Принцип четности

Автор:
Размер книги: 829 Kb

О физической природе шаровой молнии

Автор:
Категория: science, science, exact
Размер книги: 5.03 Mb

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb
Только что пользователи скачали эти книги:

Татьяна Веденская. Утро после Happy End

Автор:
Размер книги: 479 Kb

Rings with Minimum Condition

Автор: , Автор: , Автор:
Категория: Abstract algebra
Размер книги: 1.38 Mb

State and Kurds in Turkey: The Question of Assimilation

Автор:
Размер книги: 1.02 Mb

Slayers and Their Vampires: A Cultural History of Killing the Dead

Автор:
Категория: История
Размер книги: 3.16 Mb

Foster Carers: Why They Stay and Why They Leave (Supporting Parents)

Автор: , Автор: , Автор:
Размер книги: 613 Kb

The Central Nervous System: Structure and Function

Автор:
Размер книги: 71.26 Mb

Because It Is My Blood

Автор:
Категория: fiction
Размер книги: 457 Kb