On a Certain Class of Semigroups of Operators
2011 ◽
Vol 18
(02)
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pp. 129-142
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Keyword(s):
We define an interesting class of semigroups of operators in Banach spaces, namely, the randomly generated semigroups. This class contains as a remarkable subclass a special type of quantum dynamical semigroups introduced in the early 1970s by Kossakowski. Each randomly generated semigroup is associated, in a natural way, with a pair formed by a representation or an antirepresentation of a locally compact group in a Banach space and by a convolution semigroup of probability measures on this group. Examples of randomly generated semigroups having important applications in physics are briefly illustrated.
1968 ◽
Vol 9
(2)
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pp. 87-91
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Keyword(s):
2012 ◽
Vol 85
(3)
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pp. 433-445
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Keyword(s):
2004 ◽
Vol 56
(2)
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pp. 344-355
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Keyword(s):
2007 ◽
Vol 76
(1)
◽
pp. 49-54
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1986 ◽
Vol 19
(1)
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pp. 119-131
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Keyword(s):
1995 ◽
Vol 59
(3)
◽
pp. 409-420
Keyword(s):
1991 ◽
Vol 110
(2)
◽
pp. 299-306
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Keyword(s):