Vector Measures, Integration and Related

This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in the area and present a succinct account of recent and up-to-date knowledge. The topic is interdisciplinary by nature and involves areas such as measure and integration (scalar, vector and operator-valued), classical and harmonic analysis, operator theory, non-commutative integration, and functional analysis. The material is of interest to experts, young researchers and postgraduate students.

Preface	p. ix
List of Talks	p. xi
On Mean Ergodic Operators	p. 1
Fourier Series in Banach spaces and Maximal Regularity	p. 21
Spectral Measures on Compacts of Characters of a Semigroup	p. 41
On Vector Measures, Uniform Integrability and Orlicz Spaces	p. 51
The Bohr Radius of a Banach Space	p. 59
Spaces of Operator-valued Functions Measurable with Respect to the Strong Operator Topology	p. 65
Defining Limits by Means of Integrals	p. 79
A First Return Examination of Vector-valued Integrals	p. 89
A Note on Bi-orthomorphisms	p. 99
Compactness of Multiplication Operators on Spaces of Integrable Functions with Respect to a Vector Measure	p. 109
Some Applications of Nonabsolute Integrals in the Theory of Differential Inclusions in Banach Spaces	p. 115
Equations Involving the Mean of Almost Periodic Measures	p. 125
How Summable are Rademacher Series?	p. 135
Rearrangement Invariant Optimal Domain for Monotone Kernel Operators	p. 149
The Fubini and Tonelli Theorems for Product Local Systems	p. 159
A Decomposition of Henstock-Kurzweil-Pettis Integrable Multifunctions	p. 171
Non-commutative Yosida-Hewitt Theorems and Singular Functionals in Symmetric Spaces of ¿-measurable Operators	p. 183
Ideals of Subseries Convergence and Copies of c₀ in Banach Spaces	p. 199
On Operator-valued Measurable Functions	p. 205
Logarithms of Invertible Isometries, Spectral Decompositions and Ergodic Multipliers	p. 215
Norms Related to Binomial Series	p. 231
Vector-valued Extension of Linear Operators, and Tb Theorems	p. 245
Some Recent Applications of Bilinear Integration	p. 255
A Complete Classification of Short Symmetric-antisymmetric Multiwavelets	p. 271
On the Range of a Vector Measure	p. 285
Measure and Integration: Characterization of the New Maximal Contents and Measures	p. 293
Vector Measures of Bounded ¿-variation and Stochastic Integrals	p. 303
Does a Compact Operator Admit a Maximal Domain for its Compact Linear Extension?	p. 313
A Note on R-boundedness in Bidual Spaces	p. 323
Salem Sets in the p-adics, the Fourier Restriction Phenomenon and Optimal Extension of the Hausdorff-Young Inequality	p. 327
L-embedded Banach Spaces and a Weak Version of Phillips Lemma	p. 339
When is the Space of Compact Range Measures Complemented in the Space of All Vector-valued Measures?	p. 345
When is the Optimal Domain of a Positive Linear Operator a Weighted L¹-space?	p. 361
Liapounoff Convexity-type Theorems	p. 371
List of Participants	p. 381
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Vector Measures, Integration and Related Topics

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