Orthogonally additive holomorphic functions on open subsets of C(K)

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dc.contributor.authorJaramillo Aguado, Jesús Ángel
dc.contributor.authorPrieto Yerro, M. Ángeles
dc.contributor.authorZalduendo, Ignacio
dc.date.accessioned2023-06-20T00:15:24Z
dc.date.available2023-06-20T00:15:24Z
dc.date.issued2012
dc.description.abstractWe introduce, study and characterize orthogonally additive holomorphic functions f:U -> a", where U is an open subset of C(K). We are led to consider orthogonal additivity at different points of U.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16176
dc.identifier.doi10.1007/s13163-010-0055-2
dc.identifier.issn1139-1138
dc.identifier.officialurlhttp://www.springerlink.com/content/d64t741gt01t4x47/fulltext.pdf
dc.identifier.relatedurlhttp://www.springerlink.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42280
dc.issue.number1
dc.journal.titleRevista matemática complutense
dc.language.isoeng
dc.page.final41
dc.page.initial31
dc.publisherSpringer
dc.relation.projectIDMTM2009-07848
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordInfinite-dimensional holomorphy
dc.subject.keywordOrthogonal additivity
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleOrthogonally additive holomorphic functions on open subsets of C(K)
dc.typejournal article
dc.volume.number25
dcterms.referencesAron, R., Berner, P.: A Hahn-Banach extension theorem for analytic mappings. Bull. Soc. Math. France 106(1), 3–24 (1978) Benyamini, Y., Lassalle, S., Llavona, J.G.: Homogeneous orthogonally-additive polynomials on Banach lattices. Bull. Lond. Math. Soc. 38(3), 459–469 (2006) Carando, D., Lassalle, S., Zalduendo, I.: Orthogonally additive polynomials over C(K) are measures—a short proof. Integral Equ. Oper. Theory 56, 597–602 (2006) Carando, D., Lassalle, S., Zalduendo, I.: Orthogonally additive holomorphic functions of bounded type over C(K). Proc. Edinb. Math. Soc. 53(2), 609–618 (2010) Dineen, S.: Complex Analysis in Infinite Dimensional Spaces. Springer Monographs in Mathematics. Davie, A., Gamelin, T.: A theorem on polynomial-star approximation. Proc. Am. Math. Soc. 106(2), 351–356 (1989) Mujica, J.: Complex Analysis on Banach Spaces. Dover, Mineola (2010) Palazuelos, C., Peralta, A.M., Villanueva, I.: Orthogonally additive polynomials on C∗-algebras. Q. J. Math. 59(3), 363–374 (2008) Pérez-García, D., Villanueva, I.: Orthogonally additive polynomials on spaces of continuous functions. J. Math. Anal. Appl. 306(1), 97–105 (2005) Sundaresan, K.: Geometry of spaces of homogeneous polynomials on Banach lattices. In: Applied Geometry and Discrete Mathematics. DIMACS Ser. Discrete Math. Theoret. Comput. Sci., vol. 4, pp. 571–586. Amer. Math. Soc., Providence (1991)
dspace.entity.typePublication
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