Gelfand-Phillips property in the completion of the space of Pettis integrable functions
Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II
The Newman-Shapiro Isometry Theorem is proved in the case of Segal-Bargmann spaces of entire vector-valued functions (i.e. summable with respect to the Gaussian measure on ℂⁿ). The theorem is applied to find the adjoint of an unbounded Toeplitz operator with φ being an operator-valued exponential polynomial.
Generalized Alexandroff Duplicates and CD 0(K) spaces
We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].
Generalized Köthe Function Spaces.
Geometry of modulus spaces.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
Hilbert Spaces have the Strong Banach-Stone Property for Bochner Spaces.
How far is C₀(Γ,X) with Γ discrete from C₀(K,X) spaces?
For a locally compact Hausdorff space K and a Banach space X we denote by C₀(K,X) the space of X-valued continuous functions on K which vanish at infinity, provided with the supremum norm. Let n be a positive integer, Γ an infinite set with the discrete topology, and X a Banach space having non-trivial cotype. We first prove that if the nth derived set of K is not empty, then the Banach-Mazur distance between C₀(Γ,X) and C₀(K,X) is greater than or equal to 2n + 1. We also show that the Banach-Mazur...
How to Obtain Vector-Valued Banach-Stone Theorems by Using M-Structure Methods.
Hyperbolic evolution semigroups on vector valued function spaces.
Induktive Limites gewichteter Räume stetiger und holomorpher Funktionen.
Integral operators and weighted amalgams
For large classes of indices, we characterize the weights u, v for which the Hardy operator is bounded from into . For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted -spaces. Amalgams of the form , 1 < p,q < ∞ , q ≠ p, , are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained.
Integral operators on the section space of a Banach bundle.
Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity [Book]
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Isometric stability property of Banach spaces.
Isometries of Orlicz Spaces of Vector Valued Functions.
Isomorphic classification and lifting theorems for spaces of differentiable functions with Lipschitz conditions
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...