Reduction of operator families to integral form.
Reflexive Operator Algebras on Non-Commutative Hardy Spaces.
Reflexivity of the isometry group of some classical spaces.
We investigate the reflexivity of the isometry group and the automorphism group of some important metric linear spaces and a1gebras. The paper consists of the following sections: 1. Preliminaries. 2. Sequence spaces. 3. Spaces of measurable functions. Hardy spaces. 5. Banach algebras of holomorphic functions. 6. Fréchet algebras of holomorphic functions. 7. Spaces of continuous functions.
Regular operators on partial inner product spaces
Regular vector lattices of continuous functions and Korovkin-type theorems-Part II
By applying the results of the first part of the paper, we establish some Korovkin-type theorems for continuous positive linear operators in the setting of regular vector lattices of continuous functions. Moreover, we present simple methods to construct Korovkin subspaces for finitely defined operators and for the identity operator and we determine those classes of operators which admit finite-dimensional Korovkin subspaces. Finally, we give a Korovkin-type theorem for continuous positive projections....
Regularity of Banach lattice valued martingales
Regularity properties of commutators and -Triebel-Lizorkin spaces
In this paper we consider the regularity problem for the commutators where is a locally integrable function and are the Riesz transforms in the -dimensional euclidean space . More precisely, we prove that these commutators are bounded from into the Besov space for and if and only if is in the -Triebel-Lizorkin space . The reduction of our result to the case gives in particular that the commutators are bounded form into the Sobolev space if and only if is in the -Sobolev...
Regulated domains and Bergman type projections.
Relation between best approximant and orthogonality in -classes.
Relation between the boundary point spectrum of a generator and of its adjoint.
In this paper we get some relations between the boundary point spectrum of the generator A of a C0-semigroup and the generator A* of the dual semigroup. This relations combined with the results due to Lyubich-Phong and Arendt-Batty, yield stability results on positive C0-semigroups.
Relations between limit-point and Dirichlet properties of second-order difference operators.
Relations Between Summing Norms of Mappings on ln... .
Relative boundedness and compactness theory for second-order differential operators.
Relative regularity and Riesz operators
Remark on an operator inequality
Remark on sums of complemented subspaces
Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type
Remarks on a Paper of Bachelis and Gilbert.
Remarks on compact operators between interpolation spaces associated to polygons.
This note deals with interpolation methods defined by means of polygons. We show necessary and sufficient conditions for compactness of operators acting from a J-space into a K-space.
Remarks on extreme eigenvalues of Toeplitz matrices.