Sentence examples for bounded representation of a from inspiring English sources
In this paper we consider the similarity problem for A(G): Is every bounded representation of A(G) on a Hilbert space H similar to a *-representation?
We prove that if T is a strongly based continuous bounded representation of a locally compact abelian group G on a Banach Space X, and if the spectrum of T is countable, then the Banach algebra generated by f̂ (T) = ∫Gf(g) T g) dg, f ∈ L1(G), is semisimple.
We show that the similarity problem for A(G) has a negative answer if and only if there is a bounded representation of A(G) which is not completely bounded.
This, in particular, implies that corepresentations of VN G) associated to non-degenerate completely bounded representations of A(G) are similar to unitary corepresentations.
We prove a theorem of Dixmier and Malliavin type for analytic vectors of bounded representations of (R,+): Let (π,E) be a bounded representation of (R,+) in a Banach space E and let A be the convolution algebra of analytic vectors for the left regular representation of R on L1(R), then A∗A="A and π(A E="Eω.
Let S be a locally compact abelian semigroup and T a bounded representation of S by linear bounded operators in a Banach space X, with spectrum Sp(T).
Such problems are studied for strongly continuous bounded representations of locally compact, abelian semigroups of linear operators on Banach spaces.
We show that for each strongly continuous, uniformly bounded representation R of G in a UMD space X, there is a corresponding direct-sum decomposition of X which reflects the order in Ĝ.
The same is proved for the space of unital ultraweakly continuous bounded representations from an injective von Neumann algebra M into N.
We characterize groups with Guoliang Yuʼs property A (i.e., exact groups) by the existence of a family of uniformly bounded representations which approximate the trivial representation.
It is also possible that the bound representation of shape and color forms a unified structure that is stored as a unit of information in the memory and, therefore, cannot be divided or suppressed (Morey 2009).
