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Homomorphisms between Algebras of Holomorphic Functions
(Hindawi Publishing Corporation, 2014-05)
For two complex Banach spaces and , in this paper, we study the generalized spectrum M(, ) of all nonzero algebra homomorphisms from H(), the algebra of all bounded type entire functions on , into H(). We endow M(, ) with ...
Monomial convergence on ℓr
(Mathematical Science Publishers, 2021-05-18)
We develop a novel decomposition of the monomials in order to study the set of monomial convergence for spaces of holomorphic functions over er for 1 < r < 2. For Hb(er), the space of entire functions of bounded type in ...
Banach Spaces Of Homogeneous Polynomials Without The Approximation Property
(SPRINGER HEIDELBERGHEIDELBERG, 2015)
On p-compact mappings and the p-approximation property
(Academic Press Inc Elsevier Science, 2012-05)
The notion of p-compact sets arises naturally from Grothendieck´s characterization of compact sets as those contained in the convex hull of a norm null sequence. The definition, due to Sinha and Karn (2002), leads to the ...
Spaceability And Algebrability In The Theory Of Domains Of Existence In Banach Spaces
(SPRINGER-VERLAG ITALIA SRLMILAN, 2015)
Minimal and maximal surfaces generated by the holomorphic function log(z)
(Wolfram Demonstrations Project, 2016)
Minimal and maximal surfaces generated by the holomorphic function log(z)
(Wolfram Demonstrations Project, 2013)
Cluster values of holomorphic functions of bounded type
(American Mathematical Society, 2016-04)
We study the cluster value theorem for Hb(X), the Fréchet algebra of holomorphic functions bounded on bounded sets of X. We also describe the (size of) fibers of the spectrum of Hb(X). Our results are rather complete ...