Commutators of small rank and reducibility of operator semigroups
نویسندگان
چکیده
منابع مشابه
compactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولOn reducibility of some operator semigroups and algebras on locally convex spaces
Let X be a complex Hausdorff locally convex space. A system of seminorms P inducing the topology on X will be called a calibration. We denote by (X) the collection of all calibrations on X . For a given P ∈ (X) let P = {pα : α ∈ ∆}, where ∆ is some index set and for each α ∈ ∆ denote Uα = {x : pα(x) ≤ 1}. Let us denote by (X) the set of all linear continuous operators on X , by (X) the set of c...
متن کاملOperator Valued Bmo and Commutators
A dx. Given a Banach space (X, ‖ · ‖) and 1 ≤ p < ∞ we shall denote by L(R, X) the space of Bochner p-integrable functions endowed with the norm ‖f‖Lp(Rn,X) = ( ∫ Rn ‖f(x)‖ dx), by Lc (R , X) the closure of the compactly supported functions in L(R, X) and by Lweak,α(R , X) the space of measurable functions such that |{x ∈ R : ‖f(x)‖ > λ}| ≤ α(λ) where α : R → R is a non increasing function. We ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2014
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2014-12217-9