Published May 1989 | Version v1
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A generalization of the spaces lp

Description

The classical spaces lp=lp(N,R) are generalized into topological vector spaces l0(I,Y) by replacing N and R by a non empty set I and a topological vector space Y respectively. Various topological and order structures are considered by showing that lp(I,Y) satisfies a given property if Y does so. For normed spaces, a characterization of the reflexivity and of the dual of lp(I,Y) is given. (author). 10 refs

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Additional details

Additional titles

Original title (French)
Une generalisation des espaces l

Publishing Information

Imprint Pagination
14 p.
Report number
IC--89/70

INIS

Country of Publication
International Atomic Energy Agency (IAEA)
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
20066471
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
MATHEMATICAL SPACE; TOPOLOGY
Descriptors DEC
MATHEMATICS; SPACE