Hilbert H*-modules and Hilbert modules over (non-self-adjoint) operator algebras -- a reference overview II

TL;DR

This paper provides an overview of the research fields related to Hilbert modules over Hilbert *-algebras and non-self-adjoint operator algebras, complementing existing reference guides and highlighting ongoing developments.

Contribution

It compiles and discusses extensive references in the area, offering a valuable resource for researchers interested in Hilbert modules over various algebraic structures.

Findings

Compiled 54/22 references on Hilbert modules over *-algebras and non-self-adjoint operator algebras.

Highlights the relationship between these modules and Hilbert C*-modules.

Provides updates and invites further contributions to the research field.

Abstract

The two reference lists contain 54/22 references of papers and preprints concerned with the theory and/or various applications of Hilbert modules over Hilbert $*$-algebras and over (non-self-adjoint) operator algebras. They are far from being complete, but they give additional information about two research fields which are closely related to the theory of Hilbert C*-modules, i.e. they are complements to the reference guide about this circle of problems. Any additions, corrections and forthcoming information are welcome.