INVESTIGADORES
CARANDO Daniel German
artículos
Título:
Duality in spaces of nuclear and integral polynomials
Autor/es:
DANIEL CARANDO; VERÓNICA DIMANT
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2000 vol. 241 p. 107 - 121
ISSN:
0022-247X
Resumen:
We study the spaces of nuclear and integral (vector-valued) polynomials andtheir duals. We prove that, if $E$ is Asplund, ${cal P}_N(^nE;F)={cal P}%_I(^nE;F)$ isometrically, for any Banach space $F$. We describe ${cal P}%_N(^nE;F)^{prime }$ as a subspace of ${cal P}(^nE^{prime };F^{prime })$and, related to this, we are interested in weak-star continuous polynomials.When $E$ has the approximation property, we show that ${cal P}%_{w^{*}}(^nE^{prime };F)={cal P}_{c^{*}}(^nE^{prime };F)$.
