2026-06-07T19:59:29Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/575032023-07-13T01:06:36Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Llavona, José G.
author
Joaquín M., Gutiérrez
author
González, Manuel
2023-06-20T16:57:15Z
2023-06-20T16:57:15Z
1997
0002-9939
10.1090/S0002-9939-97-03733-7
https://hdl.handle.net/20.500.14352/57503
http://www.ams.org/journals/proc/1997-125-05/S0002-9939-97-03733-7/S0002-9939-97-03733-7.pdf
http://www.ams.org/journals
A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. A Banach space X has property(RP) if given two bounded sequences (u(j)), (v(j)) subset of X; we have that Q(u(j)) - Q(v(j)) --> 0 for every polynomial Q on X whenever P(u(j) - v(j)) --> 0 for every polynomial P on XI i.e., the restriction of every polynomial on X to each bounded set is uniformly sequentially continuous for the weak polynomial topology. We show that property (RP) does not imply that every scalar valued polynomial on X must be polynomially continuous.
eng
Polynomial continuity on l(1)
journal article
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https://docta.ucm.es/bitstreams/1a77c5b1-b76e-4755-b705-2610fe9a0457/download
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application/pdf
GLlavona15.pdf
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text/plain
GLlavona15.pdf.txt