On functional representation of locally -pseudoconvex algebras.
On representations of partial *-algebras based on -weights.
On the algebra of smooth operators
Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fréchet algebra L(s',s) of so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a Hölder continuous functional calculus in this algebra. The key tool is the property (DN) of s.
On the existence of configurations of subspaces in a Hilbert space with fixed angles.
On the Jordan model operators
Preliminary algebras arising from local homeomorphisms.
Reciprocity theorems in the theory of representations of groups and algebras [Book]
Representations of modules over a *-algebra and related seminorms
Representations of a module over a *-algebra are considered and some related seminorms are constructed and studied, with the aim of finding bounded *-representations of .
Representations of the Banach algebra ...1(S).
*-Representations, seminorms and structure properties of normed quasi *-algebras
The class of *-representations of a normed quasi *-algebra (𝔛,𝓐₀) is investigated, mainly for its relationship with the structure of (𝔛,𝓐₀). The starting point of this analysis is the construction of GNS-like *-representations of a quasi *-algebra (𝔛,𝓐₀) defined by invariant positive sesquilinear forms. The family of bounded invariant positive sesquilinear forms defines some seminorms (in some cases, C*-seminorms) that provide useful information on the structure of (𝔛,𝓐₀) and on the continuity...
Semi-simplicity of a proper weak -algebra.
Spectral well-behaved *-representations
In this brief account we present the way of obtaining unbounded *-representations in terms of the so-called "unbounded" C*-seminorms. Among such *-representations we pick up a special class with "good behaviour" and characterize them through some properties of the Pták function.
The algebra of compact operators does not have any finite-codimensional ideal
The Wiener Property for a Class of Discrete Hypergroups.
Unbounded representations of a *-algebra on indefinite metric space
Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms
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.
Wiener's inversion theorem for a certain class of *-algebras
We generalize Wiener's inversion theorem for Fourier transforms on closed subsets of the dual group of a locally compact abelian group to cosets of ideals in a class of non-commutative *-algebras having specified properties, which are all fulfilled in the case of the group algebra of any locally compact abelian group.
-algèbres, probabilités non commutatives et applications
Безграничноделимые состояния, коциклы и условно положительные функционалы на алгебрах
Представления *-алгебр с двумя образующими и полиномиальными соотношениями