Zobrazeno 1 - 5 of 5 pro vyhledávání: '"Alexis Alevras"'
2
Cocycles for one-parameter flows of B(H)
Autor: Alexis Alevras, Robert T. Powers, Geoffrey L. Price
Publikováno v: Journal of Functional Analysis. 230:1-64
The set of local cocycles is a natural invariant for an E 0 -semigroup. It has a multiplicative structure, as well as a partial order structure among its positive elements. In particular, the unitary local cocycles form a topological group which may
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5c65519f48bfc689abe340ab4f9a15cf
https://doi.org/10.1016/j.jfa.2005.04.017
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3
The Standard Form of an E0-Semigroup
Autor: Alexis Alevras
Publikováno v: Journal of Functional Analysis. 182:227-242
We show that the conjugacy classes of continuous semigroups of *-endomorphisms of B ( H ) that possess a pure, normal, absorbing state (i.e., standard E 0 -semigroups) are indexed by the orbits of the natural action of the group of local cocycles on
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fff77051028b9f72cd9f2f13dc46191c
https://doi.org/10.1006/jfan.2000.3716
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4
A note on the boundary representation of a continuous spatial semigroup of *-endomorphisms of ℬ(ℋ)
Autor: Alexis Alevras
Publikováno v: Proceedings of the American Mathematical Society. 123:3129-3133
We prove that the equivalence class of the boundary representation π α , U {\pi _\alpha },\mathcal {U} of an E 0 {E_0} -semigroup α \alpha is independent of the intertwining semigroup of isometries U \mathcal {U} .
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::623892c420d6704e6c2681ef2c564c29
https://doi.org/10.1090/s0002-9939-1995-1277086-6
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