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 are objects like Hilbert spaces, except that the inner product, instead of
being complex valued, takes its values in a C*-algebra. The theory of these modules …

We continue our study of the general theory of possibly nonselfadjoint algebras of operators
on a Hilbert space, and modules over such algebras, developing a little more technology to …

This invaluable reference is the first to present the general theory of algebras of operators on
a Hilbert space, and the modules over such algebras. The new theory of operator spaces is …

We employ recent advances in the theory of operator spaces, also known as quantized
functional analysis, to provide a context in which one can compare categories of modules …

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 …

Let K be a separable Hilbert space and A a function algebra. We say that K is a Hilbert
module over A if there is a multiplication (a, f)–af from A. x K to K, making K into an A-module …

This paper attempts to provide an introduction to Hilbert modules easily accessible to
anyone with an elementary background in operator algebras. Our goal is to point out that …

The concept of a Hilbert C∗-module was first introduced by I. Kaplansky in 1953, while
developing the theory of commutative unital algebras. This concept generalizes the notion of …

We show that two operator algebras are strongly Morita equivalent (in the sense of Blecher,
Muhly and Paulsen) if and only if their categories of operator modules are equivalent via …