Banach bundles in the theory of lattice-normed spaces. I. Continuous Banach bundles

Gutman A.E.

Banach bundles in the theory of lattice-normed spaces. I. Continuous Banach bundles //

Siberian Adv. Math. 1993. V. 3, N 3. P. 1–55.

Continuous Banach bundles over extremally disconnected compacta are considered. The notion of complete (ample) Banach bundle is introduced and discussed. The question is studied on representing lattice-normed spaces as spaces of continuous sections of Banach bundles.

Keywords:extremally disconnected compactum, vector lattice, lattice-normed space, continuous Banach bundle, continuous vector-functions.

Type	Article
Authors	Gutman Alexander Efimovich
Title	Banach bundles in the theory of lattice-normed spaces. I. Continuous Banach bundles
Journal	Siberian Advances in Mathematics
Year	1993
Volume	3
Number	3
Pages	1–55
Language	English
©	1993.04.01
Files	Article (PDF) Cover (PDF)
Links	Record in BibTeX format Information on ResearchGate Journal site
Project	Order analysis Development of the theory of lattice-normed spaces and dominated operators

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Last updated
July 19, 2018