Invarianz gewisser Operatorenklassen unter nichtkommutativen ergodischen Mitteln.
Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse
We study the subset in a unital C*-algebra composed of elements a such that is invertible, where denotes the Moore-Penrose inverse of a. A distinguished subset of this set is also investigated. Furthermore we study sequences of elements belonging to the aforementioned subsets.
Invertibility-preserving maps of -algebras with real rank zero.
Invitation à la théorie des algèbres stellaires
Isometries between C*-algebras
Isometries between groups of invertible elements in C*-algebras
We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.
Isometries of Banach Algebras Satisfying the von Neumann Inequality.
Isometries of the unitary groups in C*-algebras
We give a complete description of the structure of surjective isometries between the unitary groups of unital C*-algebras. While any surjective isometry between the unitary groups of von Neumann algebras can be extended to a real-linear Jordan *-isomorphism between the relevant von Neumann algebras, this is not the case for general unital C*-algebras. We show that the unitary groups of two C*-algebras are isomorphic as metric groups if and only if the C*-algebras are isomorphic in the sense that...
Isomorphic groupoid -algebras associated with different Haar systems.
Isomorphisms and generalized derivations in proper -algebras.
Isomorphisms of Hilbert C*-modules and *-isomorphisms of related operator C*-algebras.
Iterating the Pimsner construction.
JB algebras with an exceptional ideal.
Jordan Axioms for C*-Algebras.
Jordan *-derivation pairs and quadratic functionals on modules over *-rings.
-théorie bivariante de Kasparov
K-Groups of Toeplitz Algebras of Reinhardt Domains.
Korovkin theory in Banach -algebras
Korovkin theory in normed algebras
If A is a normed power-associative complex algebra such that the selfadjoint part is normally ordered with respect to some order, then the Korovkin closure (see the introduction for definitions) of T ∪ {t* ∘ t| t ∈ T} contains J*(T) for any subset T of A. This can be applied to C*-algebras, minimal norm ideals on a Hilbert space, and to H*-algebras. For bounded H*-algebras and dual C*-algebras there is even equality. This answers a question posed in [1].
K-гомологии -алгебр