Ebook: Operator Theory in Function Spaces and Banach Lattices: Essays dedicated to A.C. Zaanen on the occasion of his 80th birthday
- Tags: Analysis, Math. Applications in Chemistry, Computational Intelligence
- Series: Operator Theory Advances and Applications 75
- Year: 1995
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics.
Content:
Front Matter....Pages I-VI
Biographical Notes....Pages 1-5
List of Publications of A.C. Zaanen....Pages 7-11
Curriculum Vitae of A.C. Zaanen....Pages 12-14
Another Characterization of the Invariant Subspace Problem....Pages 15-31
Matrix Young Inequalities....Pages 33-38
Principal Eigenvalues and Perturbation....Pages 39-55
Input-Output Operators of J-Unitary Time-Varying Continuous Time Systems....Pages 57-94
Optimization Without Compactness, and Its Applications....Pages 95-112
On a Submajorization Inequality of T. Ando....Pages 113-131
Spectral Theory in Banach Lattices....Pages 133-172
Disjointness Preserving Operators on Banach Lattices....Pages 173-189
The Daniell-Stone-Riesz Representation Theorem....Pages 191-222
Diagonals of the Powers of an Operator on a Banach Lattice....Pages 223-273
A Characterization of Lipschitz Continuous Evolution Families on Banach Spaces....Pages 275-288
On The Vitali-Hahn-Saks Theorem....Pages 289-297
Minkowski’s Integral Inequality for Function Norms....Pages 299-308
Program Analysis Symposium on the occasion of the 80th birthday of A.C. Zaanen....Pages 309-309
Content:
Front Matter....Pages I-VI
Biographical Notes....Pages 1-5
List of Publications of A.C. Zaanen....Pages 7-11
Curriculum Vitae of A.C. Zaanen....Pages 12-14
Another Characterization of the Invariant Subspace Problem....Pages 15-31
Matrix Young Inequalities....Pages 33-38
Principal Eigenvalues and Perturbation....Pages 39-55
Input-Output Operators of J-Unitary Time-Varying Continuous Time Systems....Pages 57-94
Optimization Without Compactness, and Its Applications....Pages 95-112
On a Submajorization Inequality of T. Ando....Pages 113-131
Spectral Theory in Banach Lattices....Pages 133-172
Disjointness Preserving Operators on Banach Lattices....Pages 173-189
The Daniell-Stone-Riesz Representation Theorem....Pages 191-222
Diagonals of the Powers of an Operator on a Banach Lattice....Pages 223-273
A Characterization of Lipschitz Continuous Evolution Families on Banach Spaces....Pages 275-288
On The Vitali-Hahn-Saks Theorem....Pages 289-297
Minkowski’s Integral Inequality for Function Norms....Pages 299-308
Program Analysis Symposium on the occasion of the 80th birthday of A.C. Zaanen....Pages 309-309
....