A theory of positive definite kernels in the context of Hilbert C*-modules is presented.
Applications are given, including a representation of a Hilbert C*-module as a concrete …

The paper the title refers to is that in {\em Proceedings of the Edinburgh Mathematical
Society},{\bf 40}(1997), 367-374. Taking it as an excuse we intend to realize a twofold …

The aim of the present paper is to solve some major open problems of Hilbert C*-module
theory by applying various aspects of multiplier C*-theory. The key result is the equivalence …

STINESPRING'S THEOREM FOR HILBERT C*-MODULES Page 1 J. OPERATOR THEORY ©
Copyright by THETA, 2009 62:2(2009), 235-238 STINESPRING'S THEOREM FOR HILBERT …

UNITARY OPERATORS ON HILBERT C*-MODULES {x,y)\ >(x,y):ExE >A <y,x> = <x,y>*, (x,ya}
= (x,y)a (aeA), <x,t*y} Page 1 UNITARY OPERATORS ON HILBERT C*-MODULES E …

A very general KSGNS type dilation theorem in the context of right (not necessarily Hilbert)
modules over C*-algebras is presented. The proof uses Kolmogorov type decompositions …

We establish the semi-Fredholm theory on Hilbert C∗-modules as a continuation of
Fredholm theory on Hilbert C∗-modules established by Mishchenko and Fomenko. We give …

We show that there is a natural generalization of the notion of a Hilbert C*-module (also
called “Hilbert module,”“inner product module,”“rigged module,” and sometimes “Hermitian …

Hilbert C∗− modules, or C∗− modules, defined and developed by (Kaplansky), Rieffel and
Paschke, are one of the most important basic techniques/constructions in modern operator …

In this paper we discuss reproducing kernels whose ranges are contained in a C∗-algebra
or a Hilbert C∗-module. Using the construction of a reproducing Hilbert C∗-module …