The unbounded nature of the operators describing observables of a quantum mechanical system with a finite or an infinite number of degrees of freedom is mathematically a fact which follows directlyâ€¦ (More)

The spatiality of derivations of quasi *-algebras is investigated by means of representation theory. Moreover, in view of physical applications, the spatiality of the limit of a family of spatialâ€¦ (More)

The completion A[Ï„ ] of a locally convex âˆ—-algebra A[Ï„ ] with not jointly continuous multiplication is a âˆ—-vector space with partial multiplication xy defined only for x or y âˆˆ A0, and it is called aâ€¦ (More)

Many families of function spaces play a central role in analysis, in particular, in signal processing e.g., wavelet or Gabor analysis . Typical are L spaces, Besov spaces, amalgam spaces, orâ€¦ (More)

Let (A,Ao) be a topological quasi *-algebra, which means in particular that Ao is a topological *-algebra, dense in A. Let Ï€o be a *-representation of Ao in some pre-Hilbert space D âŠ‚ H. Then weâ€¦ (More)

The main purpose of this paper is to construct *-representations from unbounded C *-seminorms on partial *-algebras and to investigate their *-representations.

Morphisms and representations of a class of Banach C*-modules, called CQ*algebras, are considered. Together with a general method for constructing CQ*-algebras, two different ways of extending theâ€¦ (More)

In this paper we study the localized single valued extension property for an unbounded operator T. Moreover, we provide sufficient conditions for which the formula of the local spectral radius holdsâ€¦ (More)