Add to ORKGsummary:We show several examples of n.a\. valued fields with involution. Then, by means of a field of this kind, we introduce ``n.a\. Hilbert spaces'' in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
AbstractWe consider a special class of non-Archimedean Banach spaces, called Hilbertian, for which e...
A considerable number of non-normed topological *-algebras admit a C*-enveloping algeb...
summary:We show several examples of n.a\. valued fields with involution. Then, by means of a field o...
Non-commutative Lp-spaces are shown to constitute examples of a class of Banach quasi *-algebras cal...
The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B...
Minor corrections of misprints and addition of an introductionWe prove a factorization of completely...
Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators ma...
Denote by B(H) the algebra of bounded linear operators on the Hilbert space H. Recall that B(H) is n...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractWe study operator spaces, operator algebras, and operator modules from the point of view of ...
Abstract. Let {Dn} be a sequence of bounded invertible operators on Hilbert space H. It is shown tha...
Abstract. We introduce a new class of operator algebras on Hilbert space. To each bounded linear ope...
Let $H $ be acomplex Hilbert space and let $\mathcal{B}(H) $ denote the Banach algebra of all (bound...
Although there are many excellent ways to present the principle of the classical calculus, the novel...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
AbstractWe consider a special class of non-Archimedean Banach spaces, called Hilbertian, for which e...
A considerable number of non-normed topological *-algebras admit a C*-enveloping algeb...
summary:We show several examples of n.a\. valued fields with involution. Then, by means of a field o...
Non-commutative Lp-spaces are shown to constitute examples of a class of Banach quasi *-algebras cal...
The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B...
Minor corrections of misprints and addition of an introductionWe prove a factorization of completely...
Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators ma...
Denote by B(H) the algebra of bounded linear operators on the Hilbert space H. Recall that B(H) is n...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractWe study operator spaces, operator algebras, and operator modules from the point of view of ...
Abstract. Let {Dn} be a sequence of bounded invertible operators on Hilbert space H. It is shown tha...
Abstract. We introduce a new class of operator algebras on Hilbert space. To each bounded linear ope...
Let $H $ be acomplex Hilbert space and let $\mathcal{B}(H) $ denote the Banach algebra of all (bound...
Although there are many excellent ways to present the principle of the classical calculus, the novel...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
AbstractWe consider a special class of non-Archimedean Banach spaces, called Hilbertian, for which e...
A considerable number of non-normed topological *-algebras admit a C*-enveloping algeb...