On the Canonical Commutation Relations.
On the Carleman classes of vectors of a scalar type spectral operator.
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 certain additive maps in prime -rings
Let be a noncommutative prime ring equipped with an involution ‘’, and let be the maximal symmetric ring of quotients of . Consider the additive maps and . We prove the following under some inevitable torsion restrictions. (a) If and are fixed positive integers such that for all and for all , then . (b) If for all , then . Furthermore, we characterize Jordan left -centralizers in semiprime rings admitting an anti-automorphism . As applications, we find the structure of...
On the characterization of scalar type spectral operators
The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
On the Clarkson-McCarthy Inequalities.
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 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 Cohen -nuclear sublinear operators.
On the Commutativity of a Certain Class of Toeplitz Operators
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with it. Here we shall study the commutants of a certain class of quasihomogeneous Toeplitz operators defined on the harmonic Bergman space.
On the compact non-nuclear operator problem.
On the Composition Operator in AC[a,b].
Denote by F the composition operator generated by a given function f: R --> R, acting on the space of absolutely continuous functions. In this paper we prove that the composition operator F maps the space AC[a,b] into itself if and only if f satisfies a local Lipschitz condition on R.
On the composition operator in RVΦ [a,b].
On the computation of some quantities in the theory of Fredholm operators
On the Construction of Iteration Methods for Linear Equations in Banach Spaces by Summation Methods. (Short Communication).
On the Construction of Iteration Methods for Linear Equations in Banach Spaces by Summation Methods.
On the continuity of random operators.
On the convergence and unconditional convergence of series of operators on Banach spaces.
We study Kalton's theorem on the unconditional convergence of series of compact operators and we use some matrix techniques to obtain sufficient conditions, weaker than the previous one, on the convergence and unconditional convergence of series of compact operators.
On the Convergence of Neumann Series in Banach Spaces.