Intégration dans les semi-groupes
Integration in function spaces and differential equations with functional derivatives
Integration in partially ordered linear spaces
Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity [Book]
Integration of vector-valued functions with respect to an operator-valued measure
Integration with respect to a vector measure and function approximation.
Integration with respect to orthogonally scattered measures
Integration with respect to the canonical spectral measure in sequence spaces.
Interpolation on families of characteristic functions
We study a problem of interpolating a linear operator which is bounded on some family of characteristic functions. A new example is given of a Banach couple of function spaces for which such interpolation is possible. This couple is of the form where B is an arbitrary Banach lattice of measurable functions on a σ-finite nonatomic measure space (Ω,Σ,μ). We also give an equivalent expression for the norm of a function ⨍ in the real interpolation space in terms of the characteristic functions of...
Introduction
Introduction a l'holomorphie en dimension infinie
Introduction to constructive quantum field theory
Invariant distances and invariant differential metrics in locally convex spaces
Isometric Differentiable Functions on Real Normed Space
In this article, we formalize isometric differentiable functions on real normed space [17], and their properties.
Isometries and automorphisms of the spaces of spinors.
The relationships between the JB*-triple structure of a complex spin factor S and the structure of the Hilbert space H associated to S are discussed. Every surjective linear isometry L of S can be uniquely represented in the form L(x) = mu.U(x) for some conjugation commuting unitary operator U on H and some mu belonging to C, |mu|=1. Automorphisms of S are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in S and the orthogonality relations among them.
Isomorphic classification and lifting theorems for spaces of differentiable functions with Lipschitz conditions
Isomorphy classes of spaces of holomorphic functions on open polydiscs in dual power series spaces
Let Λ_R(α) be a nuclear power series space of finite or infinite type with lim_{j→∞} (1/j) log α_j = 0. We consider open polydiscs D_a in Λ_R(α)'_b with finite radii and the spaces H(D_a) of all holomorphic functions on D_a under the compact-open topology. We characterize all isomorphy classes of the spaces {H(D_a) | a ∈ Λ_R(α), a > 0}. In the case of a nuclear power series space Λ₁(α) of finite type we give this characterization in terms of the invariants (Ω̅ ) and (Ω̃ ) known from the theory...
Isoperimetric problem for uniform enlargement
We consider an isoperimetric problem for product measures with respect to the uniform enlargement of sets. As an example, we find (asymptotically) extremal sets for the infinite product of the exponential measure.
Iterations of Holomorphic Maps of Infinite Dimensional Homogeneous Domains.
Kergin interpolation in Banach spaces
We study the Kergin operator on the space of nuclearly entire functions of bounded type on a Banach space E. We show that the Kergin operator is a projector with interpolating properties and that it preserves homogeneous solutions to homogeneous differential operators. Further, we show that the Kergin operator is uniquely determined by these properties. We give error estimates for approximating a function by its Kergin polynomial and show in this way that for any given bounded sequence of interpolation...