A characterization of real Hilbert spaces using the Bochnak complexification norm.

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dc.contributor.authorFerrera Cuesta, Juan
dc.contributor.authorMuñoz-Fernández, Gustavo A.
dc.date.accessioned2023-06-20T16:51:11Z
dc.date.available2023-06-20T16:51:11Z
dc.date.issued2003
dc.description.abstractIn this paper we find an alternative description of the Bochnak complexification of a real Hilbert space. This new interpretation of the Bochnak norm lets us give a characterization of a real inner product space.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15224
dc.identifier.citationC. BENITEZ and Y. SARANTOPOULOS and A. TONGE, Lower bounds for norms of products of polynomials. Math. Proc. Cambridge Philos. Soc. 124, 395–408 (1998). J. BOCHNAK, Analytic functions in Banach spaces. Studia Math. 35, 273–292 (1970). J. BOCHNAK and J. SICIAK, Polynomials and multilinear mappings in topological vector spaces. Studia Math. 39, 59–76 (1971). A. DEFANT and K. FLORET, Tensor norms and operator ideals. North Holland. Math. Stud. 176 (1993). P. KIRWAN, Complexifications of multilinear and polynomial mappings. Ph. D. thesis, National University of Ireland, Galway 1997. J. LINDENSTRAUSS and L. ZTAFRIRI, Classical Banach spaces I. Ergeb. Math. Grenzgeb. 92, Berlin-Heidelberg-New York 1977. G. A. MU~NOZ, Two Problems on Real Banach Spaces: Complexifications and Bernstein-Markov Type Inequalities. Ph.D. thesis, Universidad Complutense de Madrid, Spain. 1999. G. A. MU~NOZ, Complexifications of polynomials and multilinear maps on real Banach spaces. In: Function Spaces, The Fifth Conference, Poznan 1998 H. Hudzik and L. Skrzypczak, eds., Lecture Notes Pure Appl. Math. 213, 389–406, New York, 2000. G. A. MU~NOZ, Y. SARANTOPOULOS and A. TONGE, Complexifications of real Banach spaces, polynomials and multilinear maps. Studia Math. 134, 1–33 (1999). A. D. MICHAL and M. WYMAN, Characterization of complex couple spaces. Ann. Math. 42, 247–250 (1941).
dc.identifier.doi10.1007/s00013-003-0471-3
dc.identifier.issn0003-889X
dc.identifier.officialurlhttp://www.springerlink.com/content/19ta93w2eawq3av6/fulltext.pdf?MUD=MP
dc.identifier.relatedurlhttp://www.springerlink.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57235
dc.issue.number4
dc.journal.titleArchiv der Mathematik
dc.language.isoeng
dc.page.final392
dc.page.initial384
dc.publisherBirkhäuser Verlag
dc.relation.projectIDDGICYT PB96-0607
dc.rights.accessRightsrestricted access
dc.subject.cdu517.986.6
dc.subject.cdu517.518.45
dc.subject.keywordBanach-Spaces
dc.subject.keywordMultilinear maps
dc.subject.keywordPolynomials
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleA characterization of real Hilbert spaces using the Bochnak complexification norm.
dc.typejournal article
dc.volume.number80
dspace.entity.typePublication
relation.isAuthorOfPublication1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3
relation.isAuthorOfPublication.latestForDiscovery1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3
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