Continuous spatial semigroups of completely positive maps of .

Powers, Robert T.

Displaying similar documents to “Continuous spatial semigroups of completely positive maps of $𝔅 (H)$ .”

Reductive compactifications of semitopological semigroups.

Fattahi, Abdolmajid, Pourabdollah, Mohamad Ali, Sahleh, Abbas (2003)

International Journal of Mathematics and Mathematical Sciences

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Reflexively representable but not Hilbert representable compact flows and semitopological semigroups

Michael Megrelishvili (2008)

Colloquium Mathematicae

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We show that for many natural topological groups G (including the group ℤ of integers) there exist compact metric G-spaces (cascades for G = ℤ) which are reflexively representable but not Hilbert representable. This answers a question of T. Downarowicz. The proof is based on a classical example of W. Rudin and its generalizations. A~crucial step in the proof is our recent result which states that every weakly almost periodic function on a compact G-flow X comes from a G-representation...

alpha-times Integrated Semigroups (alpha in R-)

Milorad Mijatović, Stevan Pilipović (1997)

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m-Semigroups, semigroups, and function representations

D. Monk, F. Sioson (1966)

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Semiperfect countable C-separative C-finite semigroups.

Torben Maack Bisgaard (2001)

Collectanea Mathematica

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Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely...