Abstract:
We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally m-convex Fréchet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the envelope of holomorphy. We also show a Cartan-Thullen type theorem. © 2011 Elsevier Inc.
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Citas:
---------- APA ----------
(2012)
. On algebras of holomorphic functions of a given type. Journal of Mathematical Analysis and Applications, 389(2), 792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022---------- CHICAGO ----------
Muro, S.
"On algebras of holomorphic functions of a given type"
. Journal of Mathematical Analysis and Applications 389, no. 2
(2012) : 792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022---------- MLA ----------
Muro, S.
"On algebras of holomorphic functions of a given type"
. Journal of Mathematical Analysis and Applications, vol. 389, no. 2, 2012, pp. 792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022---------- VANCOUVER ----------
Muro, S. On algebras of holomorphic functions of a given type. J. Math. Anal. Appl. 2012;389(2):792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022