RT Journal Article
T1 An introduction to nuclear space
A1 Bessaga, C.
A1 Hernando Boto, Beatriz
A1 Martín Peinador, Elena
AB This is a small book (48 pages) that contains a revised and extended version of the notes of seminar lectures given by Bessaga. The authors present a nice introduction to nuclear spaces (with all necessary preliminaries) based on Kolmogorov diameters. They consider only some of the most important topics of the theory of nuclear spaces, namely Kolmogorov diameters, nuclear operators, Mityagin's characterization of nuclear spaces, the theorem on absoluteness of bases in nuclear spaces, the uniqueness problem for bases (together with the theorem on quasiequivalence of regular bases), examples of nuclear Fréchet spaces without basis. Of course, many of the important topics in the theory of nuclear spaces are not even touched. Nevertheless, this book may be recommended to anyone who wants to study nuclear spaces, since it is practically independent of other sources and covers an essential part of the theory. Moreover, the authors do their best to help the reader: the proofs of all theorems are complete and the organization of the material is perfect.
PB Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza
SN 1132-6360
YR 1997
FD 1997
LK https://hdl.handle.net/20.500.14352/58662
UL https://hdl.handle.net/20.500.14352/58662
LA eng
DS Docta Complutense
RD 19 abr 2025