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1

Representations of modules over a *-algebra and related seminorms

100%

Trapani C., Triolo S.

Studia Mathematica

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2008

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tom 184

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nr 2

133-148

EN

Representations of a module 𝔛 over a *-algebra $𝔄_{#}$ are considered and some related seminorms are constructed and studied, with the aim of finding bounded *-representations of $𝔄_{#}$.

2

Locally convex quasi C*-algebras and noncommutative integration

100%

Trapani C., Triolo S.

Studia Mathematica

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2015

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tom 228

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nr 1

33-45

EN

We continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm topology and we focus our attention on the so-called locally convex quasi C*-algebras. We show, in particular, that any strongly *-semisimple locally convex quasi C*-algebra (𝔛,𝔄₀) can be represented in a class of noncommutative local L²-spaces.

3

Quasi *-algebras of measurable operators

81%

Bagarello F., Trapani C., Triolo S.

Studia Mathematica

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2006

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tom 172

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nr 3

289-305

EN

Non-commutative $L^{p}$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For p ≥ 2 they are also proved to possess a sufficient family of bounded positive sesquilinear forms with certain invariance properties. CQ*-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra (𝔛,𝔄₀) with a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.

Ograniczanie wyników

3 Studia Mathematica

3 Trapani C.

3 Triolo S.

1 Bagarello F.

1 2015

1 2008

1 2006

Representations of modules over a *-algebra and related seminorms

Locally convex quasi C*-algebras and noncommutative integration

Quasi *-algebras of measurable operators