
ADVANCED COURSES OF MATHEMATICAL ANALYSIS IV : Proceedings of the Fourth International School - in Memory of Professor Antonio Aizpuru Tomas.
Başlık:
ADVANCED COURSES OF MATHEMATICAL ANALYSIS IV : Proceedings of the Fourth International School - in Memory of Professor Antonio Aizpuru Tomas.
Yazar:
Perez-Fernandez, F. Javier.
ISBN:
9789814335812
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Fiziksel Tanımlama:
1 online resource (260 pages)
İçerik:
CONTENTS -- Preface -- Organizing committees -- In memoriam: Professor Antonio Aizpuru F. Javier P erez-Fern andez -- 1. The person -- 2. The professor -- 3. The researcher -- References -- Part A Mini-courses -- Weyl type theorems for bounded linear operators on Banach spaces Pietro Aiena -- 1. Introduction -- 2. Preliminaries -- 3. Browder theorems -- 4. Weyl type theorems -- 5. Weyl type theorems for left and right polaroid operators -- 6. Some applications -- 7. Polaroid operators under quasi-affinity -- References -- Finitely additive measures in action Joe Diestel and Angela Spalsbury -- 1. Introduction -- 2. Bounded, additive measures -- 3. The dual of B(A) -- 3.1. Introduction -- 3.2. The general integral and the dual of B(A) -- 4. The dual of C(K), K a compact, Hausdorff space -- 4.1. The dual of C(K) is the space of regular bounded measures on A -- 4.2. The dual of C(K) is the space of regular, countably additive measures on the - field of Borel subsets of K -- 5. Finitely Additive Measures and Geometry -- 6. ba and Banach Spaces -- 6.1. Banach's characterization of weakly null sequences in B(Q) -- 6.2. Goldstine's Theorem and Pettis' proof of Milman-Pettis -- 6.3. Phillips' Lemma and some of its consequences -- References -- Sampling and recovery of bandlimited functions and applications to signal processing Th. Schlumprecht -- 1. Introduction -- 2. Equally distributed sampling points in R -- 3. Scattered sampling points -- 4. Proof of Proposition 3.3 and Theorem 3.5 -- 5. Multidimensional versions of Theorem 3.5 -- 6. Appendix: Proof of Theorem 3.4 -- References -- Part B Plenary speakers -- Isometric shifts between spaces of continuous functions Jes us Araujo -- 1. Introduction -- 2. Question 1 -- 3. Question 4 and new questions -- 4. Questions 2c and 1 again -- 5. Question 2d for a = 1 -- 6. Questions 3 and 1b -- 7. Question 2.
8. A final question -- References -- Uniform algebras of symmetric holomorphic functions Richard M. Aron and Pablo Galindo -- Introduction -- 1. Symmetric holomorphic functions -- 2. The spectrum of A (B) -- 3. The spectrum of A (B) in the nite dimensional case -- References -- Some results on the local theory of normed spaces since 2002 (1997) F. J. Garc -Pacheco -- 1. Aizpuru's first contribution to the geometry of Banach spaces -- 2. Aizpuru's interest in L-summands -- 3. Aizpuru's new adventure in lineability -- 4. A geometrical question that Aizpuru and I always wondered -- References -- A survey on linear (additive) preserver problems Mostafa Mbekhta -- 1. Introduction -- 2. Generalized inverse preserving maps -- 3. Semi-Fredholm and generalized inverse preserving maps -- 4. Additive maps strongly preserving generalized inverses -- 5. Additive maps preserving the Moore-Penrose inverses -- 6. Local spectrum preserver maps -- References -- Bounded approximation properties via Banach operator ideals Eve Oja -- 1. Introduction -- 2. Banach operator ideals -- 3. Bounded approximation properties via inner and outer inequalities -- 4. Approximation properties which are bounded with respect to some Banach operator ideal -- References -- Linear or bilinear mappings between spaces of continuous or Lipschitz functions Fernando Rambla-Barreno -- 1. Introduction -- 2. Continuous functions -- 2.1. Preliminaries -- 2.2. Linear mappings, scalar-valued functions -- 2.3. Bilinear mappings, scalar-valued functions -- 2.4. Vector-valued functions -- 3. Lipschitz functions -- 3.1. Linear mappings -- 3.2. Bilinear mappings -- References -- Summability and lineability in the work of Antonio Aizpuru Tom as Juan B. Seoane-Sep ulveda -- 1. Preliminaries -- 2. Lineability and the theory of series in Antonio's work.
3. More results of Antonio on lineability and other contributors to the theory -- References -- Optimal bounds for the Hardy operator minus the Identity Javier Soria -- 1. Introduction -- 2. Restricted type estimates -- 3. The space R(X) -- 4. Kruglyak-Setterqvist's conjecture -- References -- Author Index.
Özet:
This proceedings is a collection of articles by front-line researchers in Mathematical Analysis, giving the reader a wide perspective of the current research in several areas like Functional Analysis, Complex Analysis and Measure Theory. The works are a fundamental source for current and future developments in these research fields. The articles and surveys have been collected as well as reference results scattered in the corresponding literature and thus, are highly useful to researchers.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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