Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C<sup>*</sup>-seminorms

Maria Fragoulopoulou; A. Inoue

doi:10.4064/sm183-3-4

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Unbounded -representations of tensor product locally convex -algebras induced by unbounded C^*-seminorms

Maria Fragoulopoulou A. Inoue

Year: 2007 Journal: Studia Mathematica Vol: 183 (3)Pages: 259-271 Publisher: Polish Academy of Sciences

DOI: 10.4064/sm183-3-4

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Abstract

The existence of unbounded $*$-representations of (locally convex) tensor product $*$-algebras is investigated, in terms of the existence of unbounded $*$-representations of the (locally convex) factors of the tensor product and vice versa.

Keywords:

Tensor product Mathematics Tensor product of algebras Tensor product of Hilbert spaces Pure mathematics Regular polygon Tensor product of modules Tensor (intrinsic definition) Product (mathematics) Algebra over a field Tensor contraction Geometry

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Mathematical Analysis and Transform Methods

Physical Sciences → Mathematics → Applied Mathematics

Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Stability and Control of Uncertain Systems

Physical Sciences → Engineering → Control and Systems Engineering

Unbounded -representations of tensor product locally convex -algebras induced by unbounded C^*-seminorms

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