Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Involutions with fixed points in 2-Banach spaces.
Isometries and the Complex State Spaces of Uniform Algebras.
Isomorphic classification of the tensor products
It is proved, using so-called multirectangular invariants, that the condition αβ = α̃β̃ is sufficient for the isomorphism of the spaces and . This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].
Isomorphic embeddings of some generalized power series spaces
Isomorphism of the co-universal F-spaces of Kalton and Terry
Isomorphism Problems for the Baire Function Spaces of Topological Spaces
Let a compact Hausdorff space X contain a non-empty perfect subset. If α < β and β is a countable ordinal, then the Banach space Bα (X) of all bounded real-valued functions of Baire class α on X is a proper subspace of the Banach space Bβ (X). In this paper it is shown that: 1. Bα (X) has a representation as C(bα X), where bα X is a compactification of the space P X – the underlying set of X in the Baire topology generated by the Gδ -sets in X. 2. If 1 ≤ α < β ≤ Ω, where Ω is the first...
Isomorphismes bicroissants des cônes convexes.
Isomorphismes bicroissants des cônes convexes
Isomorphismes de lattis de fermés convexes
Isomorphisms of Cartesian Products of ℓ-Power Series Spaces
Let ℓ be a Banach sequence space with a monotone norm , in which the canonical system is a normalized symmetric basis. We give a complete isomorphic classification of Cartesian products where and are finite and infinite ℓ-power series spaces, respectively. This classification is the generalization of the results by Chalov et al. [Studia Math. 137 (1999)] and Djakov et al. [Michigan Math. J. 43 (1996)] by using the method of compound linear topological invariants developed by the third author....
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...
Iteration of ultraproducts of locally convex spaces.
Iterations of Holomorphic Maps of Infinite Dimensional Homogeneous Domains.
Iterative processes and open mapping theorems
James boundaries and σ-fragmented selectors
We study the boundary structure for w*-compact subsets of dual Banach spaces. To be more precise, for a Banach space X, 0 < ϵ < 1 and a subset T of the dual space X* such that ⋃ B(t,ϵ): t ∈ T contains a James boundary for we study different kinds of conditions on T, besides T being countable, which ensure that . (SP) We analyze two different non-separable cases where the equality (SP) holds: (a) if is the duality mapping and there exists a σ-fragmented map f: X → X* such that B(f(x),ϵ)...
Jordan-Hahn decomposition of signed weights on Finite orthogonality spaces.
Just-non-singly generated varieties of locally convex spaces
K-analytic locally convex spaces
Kantorovich spaces and optimization.