2026-06-08T02:39:16Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/576012023-08-26T17:09:15Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Biström, Peter
author
Jaramillo Aguado, Jesús Ángel
author
Lindström, Mikael
2023-06-20T17:00:02Z
2023-06-20T17:00:02Z
1998
0035-7596
10.1216/rmjm/1181071712
https://hdl.handle.net/20.500.14352/57601
http://129.219.36.47/abstracts/rmj/vol28-4/bistpag1.pdf
http://projecteuclid.org/
We investigate infinite dimensional Banach spaces equipped with the initial topology with respect to the continuous polynomials. We show nonlinear properties for this topology in both the real and the complex case. A new property for Banach spaces, polynomial Dunford-Pettis property, is introduced. For spaces with this property the compact sets in the topology induced by the polynomials are shown to be invariant under the summation map. For most real Banach spaces we characterize the polynomially compact sets as the bounded sets that are separated from zero by the positive polynomials.
eng
Polynomial compactness in Banach spaces
journal article
URL
https://docta.ucm.es/bitstreams/173637b8-0e11-41e2-bed8-dfdf252e3a09/download
File
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application/pdf
Jaramillo32.pdf
URL
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File
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text/plain
Jaramillo32.pdf.txt