Displaying similar documents to “A theory of extensions of quasi-algebras to algebras”

Peano-algebras and quasi-algebras

J. Słomiński

Similarity:

CONTENTSIntroduction.................................................................................................................... 5§ 1. Fundamental concepts for quasi-algebras..................................................... 5§ 2. Peano-algebras.................................................................................................... 13§ 3. Peano-algebras and free quasi-algebras....................................................... 25§ 4. Theorems concerning free...

On categories of structures and classes of algebras

J. Jeżek

Similarity:

CONTENTS1. Introduction and preliminaries.............................................................................. 52. Pre-scategories and scategories......................................................................... 63. Scategorization......................................................................................................... 84. Abstract scategories................................................................................................ 95. Substructures...

Quasi *-algebras and generalized inductive limits of C*-algebras

Giorgia Bellomonte, Camillo Trapani (2011)

Studia Mathematica

Similarity:

A generalized procedure for the construction of the inductive limit of a family of C*-algebras is proposed. The outcome is no more a C*-algebra but, under certain assumptions, a locally convex quasi *-algebra, named a C*-inductive quasi *-algebra. The properties of positive functionals and representations of C*-inductive quasi *-algebras are investigated, in close connection with the corresponding properties of positive functionals and representations of the C*-algebras that generate...

C*-seminorms on partial *-algebras: an overview

Camillo Trapani (2005)

Banach Center Publications

Similarity:

The main facts about unbounded C*-seminorms on partial *-algebras are reviewed and the link with the representation theory is discussed. In particular, starting from the more familiar case of *-algebras, we examine C*-seminorms that are defined from suitable families of positive linear or sesquilinear forms, mimicking the construction of the Gelfand seminorm for Banach *-algebras. The admissibility of these forms in terms of the (unbounded) C*-seminorms they generate is characterized. ...