Products of Decomposable Positive
Operators
1994 ◽
Vol 46
(4)
◽
pp. 854-871
◽
Keyword(s):
AbstractIn recent years there has been a growing interest in problems of factorization for bounded linear operators. We first show that many of these problems properly belong to the category of C*-algebras. With this interpretation, it becomes evident that the problem is fundamental both to the structure of operator algebras and the elements therein. In this paper we consider the direct integral algebra with separable and infinite dimensional. We generalize a theorem of Wu (1988) and characterize those decomposable operators which are products of non-negative decomposable operators. We do this by first showing that various results on operator ranges may be generalized to “measurable fields of operator ranges”.
1974 ◽
Vol 26
(1)
◽
pp. 115-120
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2015 ◽
Vol 17
(05)
◽
pp. 1450042
2014 ◽
Vol 57
(3)
◽
pp. 709-718
◽
Keyword(s):
Keyword(s):
1986 ◽
Vol 41
(1)
◽
pp. 47-50
◽
1990 ◽
Vol 49
(2)
◽
pp. 327-346
◽
2013 ◽
Vol 59
(1)
◽
pp. 163-172
2017 ◽
Vol 11
(01)
◽
pp. 1850002
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