Vector Measures, Integration and Related Topics

Εξώφυλλο
Guillermo Curbera, Gerd Mockenhaupt, Werner J. Ricker
Springer Science & Business Media, 21 Φεβ 2010 - 382 σελίδες
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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 thearea 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, andfunctional analysis. The material is of interest to experts, young researchers and postgraduate students.
 

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Περιεχόμενα

On Mean Ergodic Operators
1
Fourier Series in Banach spaces and Maximal Regularity
21
Spectral Measures on Compacts of Characters of a Semigroup
40
On Vector Measures Uniform Integrability and Orlicz Spaces
51
The Bohr Radius of a Banach Space
58
Spaces of Operatorvalued Functions Measurable with Respect to the Strong Operator Topology
65
Defining Limits by Means of Integrals
79
A First Return Examination of Vectorvalued Integrals
89
On Operatorvalued Measurable Functions
205
Logarithms of Invertible Isometries Spectral Decompositions and Ergodic Multipliers
215
Norms Related to Binomial Series
230
Vectorvalued Extension of Linear Operators and Tb Theorems
245
Some Recent Applications of Bilinear Integration
255
A Complete Classification of Short Symmetricantisymmetric Multiwavelets
270
On the Range of a Vector Measure
285
Characterization of the New Maximal Contents and Measures
293

A Note on Biorthomorphisms
98
Compactness of Multiplication Operators on Spaces of Integrable Functions with Respect to a Vector Measure
109
Some Applications of Nonabsolute Integrals in the Theory of Differential Inclusions in Banach Spaces
114
Equations Involving the Mean of Almost Periodic Measures
125
How Summable are Rademacher Series?
135
Rearrangement Invariant Optimal Domain for Monotone Kernel Operators
149
The Fubini and Tonelli Theorems for Product Local Systems
159
A Decomposition of HenstockKurzweilPettis Integrable Multifunctions
171
Noncommutative YosidaHewitt Theorems and Singular Functionals in Symmetric Spaces of τmeasurable Operators
183
Ideals of Subseries Convergence and Copies of c0 in Banach Spaces
199
Vector Measures of Bounded γvariation and Stochastic Integrals
303
Does a Compact Operator Admit a Maximal Domain for its Compact Linear Extension?
312
A Note on Rboundedness in Bidual Spaces
323
Salem Sets in the padics the Fourier Restriction Phenomenon and Optimal Extension of the HausdorffYoung Inequality
327
Lembedded Banach Spaces and a Weak Version of Phillips Lemma
339
When is the Space of Compact Range Measures Complemented in the Space of All Vectorvalued Measures?
345
When is the Optimal Domain of a Positive Linear Operator a Weighted L1space?
360
Liapounoff Convexitytype Theorems
371
List of Participants
381
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