The Schur Lemma for Bounded Multiplier Convergent Series:
An Operator Characterization of Vector Measures which Have Radon-Nikodym Derivatives.
The Gliding Hump Property in Vector Sequence Spaces.
A Generalized Orlicz-Pettis Theorem and Applications.
Continuity and Hypocontinuity for Bilinear Maps.
Weakly compact operators from a B-space into the space of Bochner integrable functions
Unconditionally covering and Dunford-Pettis operators on
Convergence of convolution operators
Correction to “Unconditionally converging and Dunford-Pettis operators on ” ( Studia Math. 57 (1976), pp. 85-90)
Fourier transforms of convolution operators
A generalized function calculus based on the Laplace transform
Iterated series and the Hellinger-Toeplitz theorem.
We show that an iterated double series condition due to Antosik implies the uniform convergence of the double series. An application of Antosik's condition is given to the derivation of a vector form of the Hellinger-Toeplitz theorem.
Weak sequential completeness of sequence spaces.
Köthe and Toeplitz introduced the theory of sequence spaces and established many of the basic properties of sequence spaces by using methods of classical analysis. Later many of these same properties of sequence spaces were reestablished by using soft proofs of functional analysis. In this note we would like to point out that an improved version of a classical lemma of Schur due to Hahn can be used to give very short proofs of two of the weak sequential completeness results of Köthe and Toeplitz....
K-Convergence And The Orlicz-Pettis Theorem
Convergence in the dual of certain -spaces
A theorem on matrices and its applications in functional analysis
A projection property and weak sequential completeness of alfa-duals.
Integrability for the Dobrakov integral
Weak Fubini theorems for the Dobrakov integral
Summable subsequences in convergence groups
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