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- W4297173658 abstract "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 by Kossakowski in the early 1970s. 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." @default.
- W4297173658 created "2022-09-27" @default.
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- W4297173658 date "2010-10-28" @default.
- W4297173658 modified "2023-09-28" @default.
- W4297173658 title "On a certain class of semigroups of operators" @default.
- W4297173658 doi "https://doi.org/10.48550/arxiv.1010.5925" @default.
- W4297173658 hasPublicationYear "2010" @default.
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