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Erratum/addendum to the paper: "Quasi -algebras and generalized inductive limits of C-algebras" (Studia Math. 202 (2011), 165-190)

100%

Bellomonte G., Trapani C.

Studia Mathematica

2013

tom 217

nr 1

95-96

Quasi -algebras and generalized inductive limits of C-algebras

100%

Bellomonte G., Trapani C.

Studia Mathematica

2011

tom 202

nr 2

165-190

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 the structure. The typical example of the quasi *-algebra of operators acting on a rigged Hilbert space is analyzed in detail.

Ograniczanie wyników

2 Studia Mathematica

2 Bellomonte G.

2 Trapani C.

1 2013

1 2011

Wyniki wyszukiwania

Erratum/addendum to the paper: "Quasi -algebras and generalized inductive limits of C-algebras" (Studia Math. 202 (2011), 165-190)

Quasi -algebras and generalized inductive limits of C-algebras

Ograniczanie wyników

2 Studia Mathematica

2 Bellomonte G.

2 Trapani C.

1 2013

1 2011

Wyniki wyszukiwania

Erratum/addendum to the paper: "Quasi *-algebras and generalized inductive limits of C*-algebras" (Studia Math. 202 (2011), 165-190)

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

Erratum/addendum to the paper: "Quasi -algebras and generalized inductive limits of C-algebras" (Studia Math. 202 (2011), 165-190)

Quasi -algebras and generalized inductive limits of C-algebras