S. V. Kisliakov (auth.), Victor P. Havin, Nikolai K. Nikolski (eds.)9780387578705, 0387578706, 3540578706, 9783540578703
The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and methodological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved! |
Table of contents :
Banach spaces….Pages 1-50
Banach algebras….Pages 51-154
Probabilistic problems….Pages 155-178
Holomorphic operator functions….Pages 179-210
General operator theory….Pages 211-258
Perturbation theory scattering theory….Pages 259-292
Hankel and Toeplitz operators….Pages 293-358
Close to normal operators….Pages 359-388
Functional models….Pages 389-408
Singular integrals, BMO, H p ….Pages 409-464 |
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