A Gelfand-Neumark Theorem for C*-Alternative Algebras.
A property for locally convex *-algebras related to property (T) and character amenability
For a locally convex *-algebra A equipped with a fixed continuous *-character ε (which is roughly speaking a generalized F*-algebra), we define a cohomological property, called property (FH), which is similar to character amenability. Let be the space of continuous functions with compact support on a second countable locally compact group G equipped with the convolution *-algebra structure and a certain inductive topology. We show that has property (FH) if and only if G has property (T). On...
Bijectivity of *-Endomorphisms of ...(H) and the Unilateral Shift.
Bounded elements and spectrum in Banach quasi *-algebras
A normal Banach quasi *-algebra (,) has a distinguished Banach *-algebra consisting of bounded elements of . The latter *-algebra is shown to coincide with the set of elements of having finite spectral radius. If the family () of bounded invariant positive sesquilinear forms on contains sufficiently many elements then the Banach *-algebra of bounded elements can be characterized via a C*-seminorm defined by the elements of ().
Characterization of an -algebra in terms of a trace.
Convolutions of Vector Fields-I.
Decompositions of operator-valued functions in Hilbert spaces
Duality, uniqueness of topology and automatic continuity of *-homomorphisms in bornological locally C*-algebras
Exponentiating derivations of quasi -algebras: possible approaches and applications.
Extension of representations in quasi *-algebras
Fully representable and *-semisimple topological partial *-algebras
We continue our study of topological partial *-algebras, focusing our attention on *-semisimple partial *-algebras, that is, those that possess a multiplication core and sufficiently many *-representations. We discuss the respective roles of invariant positive sesquilinear (ips) forms and representable continuous linear functionals, and focus on the case where the two notions are completely interchangeable (fully representable partial *-algebras) with the aim of characterizing a *-semisimple partial...
Harmonic functions operating in Hermitian Banach algebras.
The purpose of this paper is to introduce a harmonic functional calculus in order to generalize some extended versions of theorems of von Neumann, Heinz and Ky Fan.
Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions
The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.
Ideal and representation theory of the -algebra of a group with polynomial growth
Integral Representations of Positive Linear forms
Locally convex - Algebras
Non-commutative moment problems.
-Topologies on the Test Function Algebra
On a problem of Fell and Doran
On embedding of involution rings.