Barrelled Locally Convex Spaces (north-holland Mathematics Studies)
by P. Perez-Carreras /
1987 / English / DjVu
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This book is a systematic treatment of barrelled spaces, and of
structures in which barrelledness conditions are significant. It is
a fairly self-contained study of the structural theory of those
spaces, concentrating on the basic phenomena in the theory, and
presenting a variety of functional-analytic techniques. Beginning
with some basic and important results in different branches of
Analysis, the volume deals with Baire spaces, presents a variety of
techniques, and gives the necessary definitions, exploring
conditions on discs to ensure that they are absorbed by the barrels
of the space. The abstract theory of barrelled spaces is then
presented, as well as local completeness and its applications to
the inheritance of the Mackey topology to subspaces.
This book is a systematic treatment of barrelled spaces, and of
structures in which barrelledness conditions are significant. It is
a fairly self-contained study of the structural theory of those
spaces, concentrating on the basic phenomena in the theory, and
presenting a variety of functional-analytic techniques. Beginning
with some basic and important results in different branches of
Analysis, the volume deals with Baire spaces, presents a variety of
techniques, and gives the necessary definitions, exploring
conditions on discs to ensure that they are absorbed by the barrels
of the space. The abstract theory of barrelled spaces is then
presented, as well as local completeness and its applications to
the inheritance of the Mackey topology to subspaces.
