DNR215 发表于 2025-3-25 05:27:52
Noncommutative Dynamics and E-Semigroups978-0-387-21524-2Series ISSN 1439-7382 Series E-ISSN 2196-9922慢慢冲刷 发表于 2025-3-25 11:28:48
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-Semigroupstral objects of study in this book are semigroups of endomorphisms of infinite-dimensional type I factors. While it is usually convenient to coordinatize a type I factor . as the algebra .(.) of all bounded operators on a complex infinite-dimensional Hilbert space ., we will often be led to consider山崩 发表于 2025-3-25 18:11:41
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Path Spaces, on which there is defined an associative product that represents concatenation of paths. There are many ways a given path space can be endowed with Hilbert space structures, in which a Hilbert space is associated with each interval in (0, ∞), in such a way that the Hilbert spaces corresponding toObserve 发表于 2025-3-26 07:51:28
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-Generators and Dilation Theorysitive linear map . from a .-algebra . to .(.)can be dilated to a representation of .. More precisely, a . of . is a pair (.) consisting of a representation . of . on some other Hilbert space . and a bounded linear map . → . satisfyingAnguish 发表于 2025-3-26 19:21:51
Index Theory for ,-Semigroupsmigroup is defined in terms of basic structures associated with . that generalize the concrete product systems associated with .-semigroups. However, these stuctures are quite subtle when the individual maps are not multiplicative, and are of independent interest in that they provide new information