Orthogonally additive holomorphic functions of bounded type over C(K)

dc.creatorCarando, Daniel Germán
dc.creatorLassalle, Silvia Beatriz
dc.creatorZalduendo, Ignacio Martin
dc.date.accessioned2020-03-03T19:46:36Z
dc.date.accessioned2022-10-15T07:38:26Z
dc.date.available2020-03-03T19:46:36Z
dc.date.available2022-10-15T07:38:26Z
dc.date.created2020-03-03T19:46:36Z
dc.date.issued2010-10
dc.identifierCarando, Daniel Germán; Lassalle, Silvia Beatriz; Zalduendo, Ignacio Martin; Orthogonally additive holomorphic functions of bounded type over C(K); Cambridge University Press; Proceedings Of The Edinburgh Mathematical Society; 53; 3; 10-2010; 609-618
dc.identifier0013-0915
dc.identifierhttp://hdl.handle.net/11336/98725
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4361304
dc.description.abstractIt is known that all k-homogeneous orthogonally additive polynomials P over C(K) are of the form P(x)= ∫Kxkdμ. Thus, x → xk factors all orthogonally additive polynomials through some linear form μ. We show that no such linearization is possible without homogeneity. However, we also show that every orthogonally additive holomorphic function of bounded type f over C(K) is of the form f(x)=∫Kh(x)dμ for some μ and holomorphic h : C (K) → L1(μ) of bounded type.
dc.languageeng
dc.publisherCambridge University Press
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/orthogonally-additive-holomorphic-functions-of-bounded-type-over-ck/B9719DF1CC1E0AB4274182C32428050D
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0013091509000248
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectHOLOMORPHIC FUNCTIONS OVER C(K)
dc.subjectINTEGRAL REPRESENTATION
dc.subjectORTHOGONALLY ADDITIVE
dc.titleOrthogonally additive holomorphic functions of bounded type over C(K)
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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