On smooth extensions of odd dimensional spheres and multidimensional Helton and Howe formula.
On Some Problems of Kaplansky in the Theory of Rings of Operators.
On some von Neumann topological algebras.
On the Cauchy functional inequality in Banach modules.
On the C*-envelope of approximately finite-dimensional operator algebras.
On the Continuity of Semi-Norms on Operator Algebras.
On the converse of a theorem of Harte and Mbekhta: Erratum to "On generalized inverses in C*-algebras"
We prove that the converse of Theorem 9 in "On generalized inverses in C*-algebras" by Harte and Mbekhta (Studia Math. 103 (1992)) is indeed true.
On the duality of local observables
On the embedding and diagonalization of matrices over C(X).
On the generalized Drazin inverse and generalized resolvent
We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range and kernel....
On the Geometry of Positive Maps in Matrix Algebras.
On the geometry of the unit ball of a C*- algebra.
On the Homomorphic Image of the Center of a C*-Algebra.
On the hyperbolic metric on Harnack parts
On the imbedding of normed rings into the ring of operators in Hilbert space
On the K-theory of the -algebra generated by the left regular representation of an Ore semigroup
We compute the -theory of -algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the -theory of these semigroup -algebras in terms of the -theory for the reduced group -algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
On the linking algebra of Hilbert modules and Morita equivalence of locally -algebras.
On the Moore-Penrose inverse in C*-algebras.
In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta. On the other hand, Moore-Penrose hermitian elements, that is C*-algebra elements which coincide with their Moore-Penrose inverse, are introduced and studied. In fact, these elements will be fully characterized both in the Hilbert space and in the C*-algebra...
On the range of completely bounded maps.
On the reflexivity of pairs of isometries and of tensor products of some operator algebras