Search results for "Bounded deformation"

showing 2 items of 2 documents

Entire Functions of Bounded Type on Fréchet Spaces

1993

We show that holomorphic mappings of bounded type defined on Frechet spaces extend to the bidual. The relationship between holomorphic mappings of bounded type and of uniformly bounded type is discussed and some algebraic and topological properties of the space of all entire mappings of (uniformly) bounded type are proved, for example a holomorphic version of Schauder's theorem.

Discrete mathematicsMathematics::Functional AnalysisMathematics::Complex VariablesGeneral MathematicsBounded functionUniform boundednessBounded deformationInfinite-dimensional holomorphyBounded inverse theoremIdentity theoremExponential typeBounded operatorMathematicsMathematische Nachrichten
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Cluster values of holomorphic functions of bounded type

2015

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 whenever X has an unconditional shrinking basis and for X = ℓ1. As a byproduct, we obtain results on the spectrum of the algebra of all uniformly continuous holomorphic functions on the ball of ℓ1. Fil: Aron, Richard Martin. Kent State University; Estados Unidos Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina Fil: Lassalle, S…

Discrete mathematicsSPECTRUMPure mathematicsMatemáticasApplied MathematicsGeneral MathematicsHolomorphic functional calculusHolomorphic functionFIBERBounded deformationBounded mean oscillationMatemática PuraBounded operatorANALYTIC FUNCTIONS OF BOUNDED TYPEBANACH SPACEBergman spaceBounded functionBounded inverse theoremCLUSTER VALUECIENCIAS NATURALES Y EXACTASMathematicsTransactions of the American Mathematical Society
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