منابع مشابه
Left invertible semigroups on Hilbert spaces . ∗
For strongly continuous semigroups on a Hilbert space, we present a short proof of the fact that the left-inverse of a left-invertible semigroup can be chosen to be a semigroup as well. Furthermore, we show that this semigroup need not to be unique.
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Abstract. We study some factorisation and dilation properties of completely positive maps on noncommutative L-spaces. We show that Akcoglu’s dilation theorem for positive contractions on classical (= commutative) L-spaces has no reasonable analog in the noncommutative setting. Our study relies on non symmetric analogs of Pisier’s operator space valued noncommutative L-spaces that we investigate...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اول$λ$-Scale, a lambda calculus for spaces with dilations
λ-Scale is an enrichment of lambda calculus which is adapted to emergent algebras. It can be used therefore in metric spaces with dilations.
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We investigate VH-spaces (Vector Hilbert spaces, or Loynes spaces) operator valued Hermitian kernels that are invariant under actions of ∗-semigroups from the point of view of generation of ∗-representations, linearizations (Kolmogorov decompositions), and reproducing kernel spaces. We obtain a general dilation theorem in both Kolmogorov and reproducing kernel space representations, that unifie...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1966
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1966-0208575-7