On the categories and . II
On the Cauchy functional inequality in Banach modules.
On the Cauchy-Schwarz inequality and its reverse in semi-inner product -modules.
On the C*-envelope of approximately finite-dimensional operator algebras.
On the C-farthest points.
On the -characteristic of fractional powers of linear operators
We describe the geometric structure of the -characteristic of fractional powers of bounded or compact linear operators over domains with arbitrary measure. The description builds essentially on the Riesz-Thorin and Marcinkiewicz-Stein-Weiss- Ovchinnikov interpolation theorems, as well as on the Krasnosel’skij-Krejn factorization theorem.
On the characterization of Banach spaces with the strong Kirtzbraun-Valentine property
On the characterization of weak closure in Hilbert space
On the Chebyshev alternation theorem.
On the Choquet and Bishop-de Leeuw theorems
On the circle-exponent function
On the Clarke’s generalized jacobian
On the class of b-L-weakly and order M-weakly compact operators
In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
On the class of continuous images of Valdivia compacta.
On the class of entire Dirichlet functions of several complex variables having finite order point
On the class of order almost L-weakly compact operators
We introduce a new class of operators that generalizes L-weakly compact operators, which we call order almost L-weakly compact. We give some characterizations of this class and we show that this class of operators satisfies the domination problem.
On the class of order Dunford-Pettis operators
We characterize Banach lattices and on which the adjoint of each operator from into which is order Dunford-Pettis and weak Dunford-Pettis, is Dunford-Pettis. More precisely, we show that if and are two Banach lattices then each order Dunford-Pettis and weak Dunford-Pettis operator from into has an adjoint Dunford-Pettis operator from into if, and only if, the norm of is order continuous or has the Schur property. As a consequence we show that, if and are two Banach...
On the class of positive almost weak Dunford-Pettis operators
In this paper, we introduce and study the class of almost weak Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP property. Next, we characterize pairs of Banach lattices for which each positive almost weak Dunford-Pettis operator is almost Dunford-Pettis.
On the classes of hereditarily Banach spaces
Let denote a specific space of the class of Banach sequence spaces which were constructed by Hagler and the first named author as classes of hereditarily Banach spaces. We show that for the Banach space contains asymptotically isometric copies of . It is known that any member of the class is a dual space. We show that the predual of contains isometric copies of where . For it is known that the predual of the Banach space contains asymptotically isometric copies of . Here we...
On the classification of C*-algebras of real rank zero.