Artículo

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

Carando, Daniel GermánIcon ; Lassalle, Silvia BeatrizIcon ; Zalduendo, Ignacio MartinIcon
Fecha de publicación: 10/2010
Editorial: Cambridge University Press
Revista: Proceedings Of The Edinburgh Mathematical Society
ISSN: 0013-0915
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

It 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.
Palabras clave: HOLOMORPHIC FUNCTIONS OVER C(K) , INTEGRAL REPRESENTATION , ORTHOGONALLY ADDITIVE
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/98725
URL: https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematica
DOI: http://dx.doi.org/10.1017/S0013091509000248
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Citación
Carando, 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
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