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Gutman A.E.
Banach bundles in the theory of lattice-normed spaces. II. Measurable Banach bundles //
Siberian Adv. Math. 1993. V. 3, N 4. P. 8–40.

The notions of measurable Banach bundle and lifting in a quotient space of measurable sections are introduced and discussed. The question is studied of representing lattice-normed spaces as those of measurable sections of Banach bundles.

Keywords:measure space, extremally disconnected compactum, lifting, vector lattice, lattice-normed space, continuous and measurable Banach bundle.
Type Article
Authors Gutman Alexander Efimovich
Title Banach bundles in the theory of lattice-normed spaces. II. Measurable Banach bundles
Journal Siberian Advances in Mathematics
Year 1993
Volume 3
Number 4
Pages 8–40
Language English
© 1993.04.02
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Development of the theory of lattice-normed spaces and dominated operators
 
 
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July 19, 2018