A class of operator algebras induced by probabilistic conditional expectations.
نویسندگان
چکیده
منابع مشابه
Conditional Expectations for Unbounded Operator Algebras
Two conditional expectations in unbounded operator algebras (O∗-algebras) are discussed. One is a vector conditional expectation defined by a linear map of an O∗-algebra into the Hilbert space on which the O∗-algebra acts. This has the usual properties of conditional expectations. This was defined by Gudder and Hudson. Another is an unbounded conditional expectation which is a positive linear m...
متن کاملUnbounded Conditional Expectations for Partial O∗-Algebras
Recommended by Ingo Witt The main purpose of this paper is to generalize studies of unbounded conditional expectations for O *-algebras to those for partial O *-algebras.
متن کاملEquivalent Characterization of a Class of Conditional Probabilistic Independencies
Markov networks utilize nonembedded probabilistic conditional independencies in order to provide an economical representation of a joint distribution in uncertainty management. In this paper we study several properties of nonembedded conditional independencies and show that they are in fact equivalent. The results presented here not only show the useful characteristics of an important subclass ...
متن کاملOperator Algebras and the Operational Semantics of Probabilistic Languages
We investigate the construction of linear operators representing the semantics of probabilistic programming languages expressed via probabilistic transition systems. Finite transition relations, corresponding to finite automata, can easily be represented by finite dimensional matrices; for the infinite case we need to consider an appropriate generalisation of matrix algebras. We argue that C∗-a...
متن کاملC∗-algebras Generated by a Subnormal Operator
Using the functional calculus for a normal operator, we provide a result for generalized Toeplitz operators, analogous to the theorem of Axler and Shields on harmonic extensions of the disc algebra. Besides that result, we prove that if T is an injective subnormal weighted shift, then any two nontrivial subspaces invariant under T cannot be orthogonal to each other. Then we show that the C∗-alg...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1993
ISSN: 0026-2285
DOI: 10.1307/mmj/1029004757