Vector Measures, Integration and Related Topics
Guillermo Curbera, Gerd Mockenhaupt, Werner J. Ricker
Springer Science & Business Media, 21 Φεβ 2010 - 382 σελίδες
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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Fourier Series in Banach spaces and Maximal Regularity
Spectral Measures on Compacts of Characters of a Semigroup
On Vector Measures Uniform Integrability and Orlicz Spaces
The Bohr Radius of a Banach Space
Spaces of Operatorvalued Functions Measurable with Respect to the Strong Operator Topology
Defining Limits by Means of Integrals
A First Return Examination of Vectorvalued Integrals
On Operatorvalued Measurable Functions
Logarithms of Invertible Isometries Spectral Decompositions and Ergodic Multipliers
Norms Related to Binomial Series
Vectorvalued Extension of Linear Operators and Tb Theorems
Some Recent Applications of Bilinear Integration
A Complete Classification of Short Symmetricantisymmetric Multiwavelets
On the Range of a Vector Measure
Characterization of the New Maximal Contents and Measures
A Note on Biorthomorphisms
Compactness of Multiplication Operators on Spaces of Integrable Functions with Respect to a Vector Measure
Some Applications of Nonabsolute Integrals in the Theory of Differential Inclusions in Banach Spaces
Equations Involving the Mean of Almost Periodic Measures
How Summable are Rademacher Series?
Rearrangement Invariant Optimal Domain for Monotone Kernel Operators
The Fubini and Tonelli Theorems for Product Local Systems
A Decomposition of HenstockKurzweilPettis Integrable Multifunctions
Noncommutative YosidaHewitt Theorems and Singular Functionals in Symmetric Spaces of τmeasurable Operators
Ideals of Subseries Convergence and Copies of c0 in Banach Spaces
Vector Measures of Bounded γvariation and Stochastic Integrals
Does a Compact Operator Admit a Maximal Domain for its Compact Linear Extension?
A Note on Rboundedness in Bidual Spaces
Salem Sets in the padics the Fourier Restriction Phenomenon and Optimal Extension of the HausdorffYoung Inequality
Lembedded Banach Spaces and a Weak Version of Phillips Lemma
When is the Space of Compact Range Measures Complemented in the Space of All Vectorvalued Measures?
When is the Optimal Domain of a Positive Linear Operator a Weighted L1space?
Liapounoff Convexitytype Theorems
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2009 Birkh¨auser Verlag Advances and Applications Banach function space Banach space Birkh¨auser Verlag Basel/Switzerland Bochner integrable bounded variation condition consider continuous linear continuous linear extension convergence convex Corollary countably additive cwk(X decomposition Dedekind complete deﬁned deﬁnition denote diﬀerent diﬀerential disjoint dual equation equivalent exists ﬁnite ﬁrst follows Fourier Fr´echet space function f function space Hence Hilbert space HKP-integrable ideal implies integrable functions isomorphic Lebesgue Lebesgue integrable Lemma linear map linear operator M-bimodule Math Mathematics Subject Classiﬁcation maximal measurable function measure space Moreover multifunction multiwavelets operator-valued optimal domain order bounded Pettis integrable Proof Proposition prove Rademacher result Riesz space satisfies scalarly Schauder sequence spectral strongly measurable Subject Classiﬁcation 2000 subset subspace tensor product Theorem 3.1 theory topology uniformly mean ergodic unit ball Univ vector lattice vector measure von Neumann algebra W.J. Ricker