Compct polynomials on non-Archimedean Banach spaces
Complementation in spaces of symmetric tensor products and polynomials
For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.
Complementation in spaces of symmetric tensor products and polynomials.
Our aim here is to announce some properties of complementation for spaces of symmetric tensor products and homogeneous continuous polynomials on a locally convex space E that have, in particular, consequences in the study of the property (BB)n,s recently introduced by Dineen [8].
Complete holomorphic vector fields on the second dual of Banach space.
Complete polynomial vector fields in a ball.
Complete Spaces of Vector-Valued Holomorphic Germs.
Completely continuous multilinear operators on C(K)-spaces.
The purpose of this note is to announce, without proofs, some results concerning vector valued multilinear operators on a product of C(K) spaces.
Completeness and sequential completeness in certain spaces of measures
Complex dynamical systems and the geometry of domains in Banach spaces [Book]
Complex dynamical systems on bounded symmetric domains.
Complex Homomorphisms of the Algebras of Holomorphic Functions on Fréchet Spaces.
Complexification norms and estimates for polynomials.
Complexifications of real Banach spaces, polynomials and multilinear maps
We give a unified treatment of procedures for complexifying real Banach spaces. These include several approaches used in the past. We obtain best possible results for comparison of the norms of real polynomials and multilinear mappings with the norms of their complex extensions. These estimates provide generalizations and show sharpness of previously obtained inequalities.
Composition operators between weighted spaces of holomorphic functions on Banach spaces.
Composition results for strongly summing and dominated multilinear operators
In this paper we prove some composition results for strongly summing and dominated operators. As an application we give necessary and sufficient conditions for a multilinear tensor product of multilinear operators to be strongly summing or dominated. Moreover, we show the failure of some possible n-linear versions of Grothendieck’s composition theorem in the case n ≥ 2 and give a new example of a 1-dominated, hence strongly 1-summing bilinear operator which is not weakly compact.
Compositions of operators with vector valued maps
Concerning a geometrical characterization of Fréchet differentiability
Concerning holomorphy types for Banach spaces
Concerning interior mapping theorem
Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space
We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space . An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space . Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur...