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Commutativity and continuity conditions for the Moore-Penrose inverse and the "conorm" are established in a C*-algebra; moreover, spectral permanence and B*-properties for the conorm are proved.

Generalized Jensen's equations in Banach modules over a unital $C^{*}$ -algebra.

Park, Chun-Gil (2002)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Generalized non-commutative tori

Chun-Gil Park (2002)

Studia Mathematica

The generalized non-commutative torus $T_{ϱ}^{k}$ of rank n is defined by the crossed product $A_{m / k} \times_{α ₃} ℤ \times_{α ₄} . . . \times_{α ₙ} ℤ$ , where the actions $α_{i}$ of ℤ on the fibre $M_{k} (ℂ)$ of a rational rotation algebra $A_{m / k}$ are trivial, and $C * (k ℤ \times k ℤ) \times_{α ₃} ℤ \times_{α ₄} . . . \times_{α ₙ} ℤ$ is a non-commutative torus $A_{ϱ}$ . It is shown that $T_{ϱ}^{k}$ is strongly Morita equivalent to $A_{ϱ}$ , and that $T_{ϱ}^{k} \otimes M_{p^{\infty}}$ is isomorphic to $A_{ϱ} \otimes M_{k} (ℂ) \otimes M_{p^{\infty}}$ if and only if the set of prime factors of k is a subset of the set of prime factors of p.

Generalized q-deformed Gaussian random variables

Marek Bożejko, Hiroaki Yoshida (2006)

Banach Center Publications

We produce generalized q-Gaussian random variables which have two parameters of deformation. One of them is, of course, q as for the usual q-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.

Generalized stability of $C^{*}$ -ternary quadratic mappings.

Park, Choonkil, Cui, Jianlian (2007)

Abstract and Applied Analysis

Generalized Weyl-von Neumann Theorems (II).

Huaxin Lin (1995)

Mathematica Scandinavica

Geometric aspects of the Tomita-Takesaki theory I.

Christian F. Skau (1980)

Mathematica Scandinavica

Geometric aspects of the Tomita-Takesaki theory II.

Uffe Haagerup, Christian F. Skau (1981)

Mathematica Scandinavica

Geometric $K$ -homolgy and controlled paths.

Keswani, Navin (1999)

The New York Journal of Mathematics [electronic only]

Géométrie non commutative, opérateur de signature transverse et algèbres de Hopf

Georges Skandalis (2000/2001)

Séminaire Bourbaki

Geometry of numerical ranges in locally $m$ -convex *-algebras.

Chryssakis, Th. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Geometry of oblique projections

E. Andruchow, Gustavo Corach, D. Stojanoff (1999)

Studia Mathematica

Let A be a unital C*-algebra. Denote by P the space of selfadjoint projections of A. We study the relationship between P and the spaces of projections $P_{a}$ determined by the different involutions $_{a}$ induced by positive invertible elements a ∈ A. The maps $φ : P \to P_{a}$ sending p to the unique $q \in P_{a}$ with the same range as p and $Ω_{a} : P_{a} \to P_{a}$ sending q to the unitary part of the polar decomposition of the symmetry 2q-1 are shown to be diffeomorphisms. We characterize the pairs of idempotents q,r ∈ A with ||q-r|| < 1 such that...

Currently displaying 1 – 20 of 31

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Displaying 1 – 20 of 31

Gabor Time-Frequency Lattices and the Wexler-Raz Identity.

GAGA for DQ-algebroids

Gauss polynomials and the rotation algebra.

Gaussian random band matrices and operator-valued free probability theory

Generalized derivations and $C^{*}$ -algebras.

Generalized inverses in C*-algebras II

Generalized Jensen's equations in Banach modules over a unital $C^{*}$ -algebra.

Generalized non-commutative tori

Generalized q-deformed Gaussian random variables

Generalized stability of $C^{*}$ -ternary quadratic mappings.

Generalized Weyl-von Neumann Theorems (II).

Geometric aspects of the Tomita-Takesaki theory I.

Geometric aspects of the Tomita-Takesaki theory II.

Geometric $K$ -homolgy and controlled paths.

Géométrie non commutative, opérateur de signature transverse et algèbres de Hopf

Geometry of numerical ranges in locally $m$ -convex *-algebras.

Geometry of oblique projections

Geometry on the space of positive functions.

Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space

Gleason theorem for signed measures with infinite values

Currently displaying 1 – 20 of 31