Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
Isomorphic classification and lifting theorems for spaces of differentiable functions with Lipschitz conditions
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
Isomorphic groupoid -algebras associated with different Haar systems.
Isomorphic properties in spaces of compact operators
We introduce the definition of -limited completely continuous operators, . The question of whether a space of operators has the property that every -limited subset is relative compact when the dual of the domain and the codomain have this property is studied using -limited completely continuous evaluation operators.
Isomorphic Schauder decompositions in certain Banach spaces
We extend a theorem of Kato on similarity for sequences of projections in Hilbert spaces to the case of isomorphic Schauder decompositions in certain Banach spaces. To this end we use ℓψ-Hilbertian and ∞-Hilbertian Schauder decompositions instead of orthogonal Schauder decompositions, generalize the concept of an orthogonal Schauder decomposition to the case of Banach spaces and introduce the class of Banach spaces with Schauder-Orlicz decompositions. Furthermore, we generalize the notions of type,...
Isomorphic type of the space of smooth functions determined by a finite family of differential operators.
Isomorphically isometric probabilistic normed linear spaces.
Probabilistic normed linear spaces (briefly PNL spaces) were first studied by A. N. Serstnev in [1]. His definition was motivated by the definition of probabilistic metric spaces (PM spaces) which were introduced by K. Menger and subsequebtly developed by A. Wald, B. Schweizer, A. Sklar and others.In a previuos paper [2] we studied the relationship between two important classes of PM spaces, namely E-spaces and pseudo-metrically generated PM spaces. We showed that a PM space is pseudo-metrically...
Isomorphism Between the Associative and Non-Associative Lp-Spaces of Type II1 Hyperfinite Factors.
Isomorphism of certain weak spaces
It is shown that the weak spaces , and are isomorphic as Banach spaces.
Isomorphism of spaces of bounded continuous functions
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...
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces
In Hörmander inner product spaces, we investigate initial-boundary value problems for an arbitrary second order parabolic partial differential equation and the Dirichlet or a general first-order boundary conditions. We prove that the operators corresponding to these problems are isomorphisms between appropriate Hörmander spaces. The regularity of the functions which form these spaces is characterized by a pair of number parameters and a function parameter varying regularly at infinity in the sense...
Isomorphismes bicroissants des cônes convexes.
Isomorphismes bicroissants des cônes convexes
Isomorphismes de lattis de fermés convexes
Isomorphismes entre espaces
Isomorphisms and derivations in Lie -algebras.