دانلود کتاب Banach Spaces of Analytic Functions and Absolutely Summing Operators (Regional Conference Series in Mathematics ; No. 30)

فهرست مطالب :

Cover......Page 1
Banach Spaces of Analytic Functions and Absolutely Summing Operators......Page 2
ISBN 0821816802......Page 3
Contents......Page 4
Preface......Page 6
0.I. L^p((μ)-spaces and C(S)-spaces......Page 8
0.II. Classical spaces of analytic functions and the Hilbert transform......Page 9
0.III. Absolutely summing operators and their relatives......Page 12
1. The F. and M. Riesz Theorem and Duals of the Disc Algebra......Page 15
2. Absolutely Summing Operators from the Disc Algebra......Page 18
3. Absolutely Summing Operators from the Disc Algebra into Hilbert Space......Page 24
4. The Nonexistence of Local Unconditional Structure for the Disc Algebra and for its Duals......Page 29
5. Application to Uniform Algebras......Page 33
6. Uniformly Peaking Families of Functions in A and H^∞ty. The Havin Lemma......Page 41
7. Characterizations of Weakly Compact Sets in L¹/H₀¹ and in A *......Page 48
8. Weakly Compact Operators from A, L I /H~ and A * and Complemented Subspaces of These Spaces......Page 55
9. Complementation of Finite Dimensional Subspaces in A, L¹/H₀¹ and H^∞ty......Page 61
10. Bases and the Approximation Property in Some Spaces of Analytic Functions......Page 70
11. The Polydisc Algebra and the n-Ball Algebra, and Their Duals......Page 76
References......Page 90