Conditional Expectations for Unbounded Operator Algebras
2007 ◽
Vol 2007
◽
pp. 1-22
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Keyword(s):
Two conditional expectations in unbounded operator algebras (O∗-algebras) are discussed. One is a vector conditional expectation defined by a linear map of anO∗-algebra into the Hilbert space on which theO∗-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 mapℰof anO∗-algebraℳonto a givenO∗-subalgebra𝒩ofℳ. Here the domainD(ℰ)ofℰdoes not equal toℳin general, and so such a conditional expectation is called unbounded.
Keyword(s):
2016 ◽
Vol 31
◽
pp. 87-99
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Keyword(s):
1984 ◽
Vol 25
(9)
◽
pp. 2633-2637
◽
2013 ◽
Vol 155
(3)
◽
pp. 475-482
◽
2007 ◽
Vol 59
(2)
◽
pp. 343-371
◽
1981 ◽
Vol 17
(3)
◽
pp. 755-776
◽
1969 ◽
Vol 21
◽
pp. 1178-1181
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Keyword(s):