Locally solid Riesz spaces

Riesz spaces are named after Frigyes Riesz who first defined them in his 1928 paper "Sur la décomposition des opérations fonctionelles linéaires." Most early work on Riesz spaces addressed the algebraic side of the theory, ignoring the analytic implications, but exploring normed Riesz s...

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Bibliographic Details
Main Author: Aliprantis, Charalambos D.
Other Authors: Burkinshaw, Owen
Format: eBook
Language:English
Published: New York Academic Press 1978, 1978
Series:Pure and applied mathematics, a series of monographs and text-books
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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245 0 0 |a Locally solid Riesz spaces  |c Charalambos D. Aliprantis, Owen Burkinshaw 
260 |a New York  |b Academic Press  |c 1978, 1978 
300 |a xii, 198 pages 
505 0 |a The lattice structure if Riesz spaces -- Locally solid topologies -- Lebesgue and pre-Lebesgue topologies -- Fatou topologies -- Metrizable locally solid Riesz spaces -- Locally convex-solid Riesz spaces -- Laterally complete Riesz spaces 
505 0 |a Includes bibliographical references (pages 191-194) and index 
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520 |a Riesz spaces are named after Frigyes Riesz who first defined them in his 1928 paper "Sur la décomposition des opérations fonctionelles linéaires." Most early work on Riesz spaces addressed the algebraic side of the theory, ignoring the analytic implications, but exploring normed Riesz spaces and Banach lattices. This book concentrates on the general theory of topological Riesz spaces, with a unified approach to locally solid Riesz spaces, emphasizing the relationship between the order structure and the topological structure