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On Banach spaces of the form C-0(alpha x L) with few operators

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Author(s):
Candido, Leandro
Total Authors: 1
Document type: Journal article
Source: BANACH JOURNAL OF MATHEMATICAL ANALYSIS; v. 15, n. 2, p. 23-pg., 2021-04-01.
Abstract

For an exotic locally compact Hausdorff space L, constructed under the assumption of Ostaszewski's (sic)-principle, and a countable ordinal space alpha, we prove that all operators defined on C-0(alpha x L) have the simplest possible form. We also investigate the geometry of such space C-0(alpha x L) and we classify up to isomorphisms all its complemented subspaces. (AU)

FAPESP's process: 16/25574-8 - Geometry of Banach Spaces
Grantee:Valentin Raphael Henri Ferenczi
Support Opportunities: Research Projects - Thematic Grants