Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space L(H) of bounded linear operators on H with the weak operator topology. We prove that if U is a measurable map from G to L(H) then it is continuous. This result was known before for separable H. We also prove that the following statement is consistent with ZFC: every measurable homomorphism from a locally compact group into any topological group is continuous
AbstractLet G be a locally compact abelian group, let μ be a bounded complex-valued Borel measure on...
AbstractIf X is a space and B⊆X, we say that B is functionally bounded in X if every continuous real...
We give a general version of the weak spectral mapping theorem for non-quasianalytic representations...
peer reviewedLet G be a locally compact group, and let U be its unitary representation on a Hilbert ...
For a locally compact group G, L1(G) is its group algebra and L?(G) is the dual of L1(G). Crombez an...
Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space ...
AbstractLet G be a compact abelian group and let L(G) be the space of measurable functions on G, equ...
AbstractIt is shown that various kinds of measurability of a multiplier representation of a locally ...
Let L(X) be the algebra of all bounded operators on a Banach space X, and let t:G⇾L(X) be a represen...
We prove that a homomorphism $h:X\to Y$ from a (locally compact) Cech-complete topological group $X$...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
In this paper, we characterize spaces of L∞-functions on a compact Hausdorff space that are invarian...
AbstractLet G be a locally compact abelian group, let μ be a bounded complex-valued Borel measure on...
AbstractIf X is a space and B⊆X, we say that B is functionally bounded in X if every continuous real...
We give a general version of the weak spectral mapping theorem for non-quasianalytic representations...
peer reviewedLet G be a locally compact group, and let U be its unitary representation on a Hilbert ...
For a locally compact group G, L1(G) is its group algebra and L?(G) is the dual of L1(G). Crombez an...
Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space ...
AbstractLet G be a compact abelian group and let L(G) be the space of measurable functions on G, equ...
AbstractIt is shown that various kinds of measurability of a multiplier representation of a locally ...
Let L(X) be the algebra of all bounded operators on a Banach space X, and let t:G⇾L(X) be a represen...
We prove that a homomorphism $h:X\to Y$ from a (locally compact) Cech-complete topological group $X$...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
For a locally compact group $G$, we show that it is possible to present the class of continuous unit...
In this paper, we characterize spaces of L∞-functions on a compact Hausdorff space that are invarian...
AbstractLet G be a locally compact abelian group, let μ be a bounded complex-valued Borel measure on...
AbstractIf X is a space and B⊆X, we say that B is functionally bounded in X if every continuous real...
We give a general version of the weak spectral mapping theorem for non-quasianalytic representations...
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