In a Nonreflexive Space the Subdifferential is Not Onto.
Infinite dimensional Gegenbauer functionals
he paper is devoted to investigation of Gegenbauer white noise functionals. A particular attention is paid to the construction of the infinite dimensional Gegenbauer white noise measure , via the Bochner-Minlos theorem, on a suitable nuclear triple. Then we give the chaos decomposition of the L²-space with respect to the measure by using the so-called β-type Wick product.
Infinite Dimensional Holomrphy via Categorial Differential Calculus.
Infinite products of holomorphic mappings.
Infinite-factorable holomorphic mappings on locally convex spaces.
Infinitely divisible cylindrical measures on Banach spaces
In this work infinitely divisible cylindrical probability measures on arbitrary Banach spaces are introduced. The class of infinitely divisible cylindrical probability measures is described in terms of their characteristics, a characterisation which is not known in general for infinitely divisible Radon measures on Banach spaces. Further properties of infinitely divisible cylindrical measures such as continuity are derived. Moreover, the classification result enables us to deduce new results on...
Integrability for the Dobrakov integral
Integración bilineal bornológica.
Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. II.
Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. III.
Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. I.
Integral equalities for functions of unbounded spectral operators in Banach spaces [Book]
Integral holomorphic functions
We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
Integral multilinear forms on spaces
We use polymeasures to characterize when a multilinear form defined on a product of spaces is integral.
Integral polynomials on Banach spaces not containing
We give new characterizations of Banach spaces not containing in terms of integral and -dominated polynomials, extending to the polynomial setting a result of Cardassi and more recent results of Rosenthal.
Integral representation of additive transformations on spaces
Integral transforms of vector measures on semigroups with applications to spectral operators.
Integrals and Banach spaces for finite order distributions
Let denote the real-valued functions continuous on the extended real line and vanishing at . Let denote the functions that are left continuous, have a right limit at each point and vanish at . Define to be the space of tempered distributions that are the th distributional derivative of a unique function in . Similarly with from . A type of integral is defined on distributions in and . The multipliers are iterated integrals of functions of bounded variation. For each , the spaces...
Integration and the Feynman-Kac formula
Intégration dans les espaces -normes