A characterization of commutators with Hilbert transforms
A characterization of polynomially Riesz strongly continuous semigroups
In this paper we characterize the class of polynomially Riesz strongly continuous semigroups on a Banach space . Our main results assert, in particular, that the generators of such semigroups are either polynomially Riesz (then bounded) or there exist two closed infinite dimensional invariant subspaces and of with such that the part of the generator in is unbounded with resolvent of Riesz type while its part in is a polynomially Riesz operator.
A Characterization of Riesz Operators.
A Characterization of Schwartz Spaces.
A Compact Operator Characterization of l1.
A conjecture about the Dunford-Pettis property
A criterion for compositions of (p,q)-absolutely summing operators to be compact
A Generalization of Echelon Spaces.
A generalization of reflexive Banach spaces and weakly compact operators
A generalization of the maximal entropy method for solving ill-posed problems.
A Global Compactness Result for Elliptic Boundary Value Problems Involving Limiting Nonlinearities.
A new approach to function spaces on quasi-metric spaces.
A note on composition operators
A note on Riesz elements in -algebras.
A note on the commutator of two operators on a locally convex space
Denote by the commutator of two bounded operators and acting on a locally convex topological vector space. If , we show that is a quasinilpotent operator and we prove that if is a compact operator, then is a Riesz operator.
A Perturbation Theorem for the Essential Spectral Radius of Strongly Continuous Semigroups.
A Positive Compact Operator.
A Quantitative Schauder Theorem.
Absolutely (r,p,q)-summing inclusions
As a continuation of the work of Bennett and Carl for the case q = ∞, we consider absolutely (r,p,q)-summing inclusion maps between Minkowski sequence spaces, 1 ≤ p,q ≤ 2. Using these results we deduce parts of the limit orders of the corresponding operator ideals and an inclusion theorem between the ideals of (u,s,t)-nuclear and of absolutely (r,p,q)-summing operators, which gives a new proof of a result of Carl on Schatten class operators. Furthermore, we also consider inclusions between arbitrary...
Abstract representing kernels.