Vector Measures, Integration and Related TopicsGuillermo 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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Περιεχόμενα
| 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 |
Άλλες εκδόσεις - Προβολή όλων
Vector Measures, Integration and Related Topics Guillermo Curbera,Gerd Mockenhaupt,Werner J. Ricker Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2009 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Πληροφορίες βιβλιογραφίας
| Τίτλος | Vector Measures, Integration and Related Topics Τόμος 201 του Operator Theory: Advances and Applications |
| Επιμελητές | Guillermo Curbera, Gerd Mockenhaupt, Werner J. Ricker |
| Έκδοση | εικονογραφημένη |
| Εκδότης | Springer Science & Business Media, 2010 |
| ISBN | 3034602111, 9783034602112 |
| Μέγεθος | 382 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |