Characterization of Hankel transformable generalized functions.
Characterization of intermediate values of the triangle inequality II
In [Mineno K., Nakamura Y., Ohwada T., Characterization of the intermediate values of the triangle inequality, Math. Inequal. Appl., 2012, 15(4), 1019–1035] there was established a norm inequality which characterizes all intermediate values of the triangle inequality, i.e. C n that satisfy 0 ≤ C n ≤ Σj=1n ‖x j‖ − ‖Σj=1n x j‖, x 1,...,x n ∈ X. Here we study when this norm inequality attains equality in strictly convex Banach spaces.
Characterization of interpolation spaces and regularity properties for holomorphis semigroups.
Characterization of L...(M) for injective W*-algebras M.
Characterization of Matrix Operators on Orlicz Spaces.
Characterization of Mellin distributions supported by certain noncompact sets
A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on . The proof is based on a parameter version of the Seeley extension theorem.
Characterization of normed linear spaces with generalized Mazur intersection property
Let 𝓐 be a compatible collection of bounded subsets in a normed linear space. We give a characterization of the following generalized Mazur intersection property: every closed convex set A ∈ 𝓐 is an intersection of balls.
Characterization of nuclear Fréchet spaces in which every bounded set is polar
Characterization of Nuclear Spaces Means of Additive Subgroups.
Characterization of rearrangement invariant spaces with fixed points for the Hardy-Littlewood maximal operator.
Characterization of regular tempered distributions
Characterization of some interpolation spaces (I)
Si calcolano alcuni spazi di interpolazione fra spazi di funzioni hölderiane.
Characterization of some interpolation spaces (II)
Si caratterizzano alcuni spazi di interpolazione tra spazi di funzioni continue e domini di operatori ellittici del 2° ordine.
Characterization of some Subspaces of (D') by S-asymptotic
Characterization of strict C*-algebras
A Banach algebra A is called strict if the product morphism is continuous with respect to the weak norm in A ⊗ A. The following result is proved: A C*-algebra is strict if and only if all its irreducible representations are finite-dimensional and their dimensions are bounded.
Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces
We study strongly exposed points in general Köthe-Bochner Banach spaces X(E). We first give a characterization of strongly exposed points of the set of X-selections of a measurable multifunction Γ. We then apply this result to the study of strongly exposed points of the closed unit ball of X(E). Precisely we show that if an element f is a strongly exposed point of , then |f| is a strongly exposed point of and f(ω)/∥ f(ω)∥ is a strongly exposed point of for μ-almost all ω ∈ S(f).
Characterization of subspaces and quotients of nuclear -spaces
Characterization of surjective convolution operators on Sato's hyperfunctions
Let be an analytic functional and let be the corresponding convolution operator on Sato’s space of hyperfunctions. We show that is surjective iff admits an elementary solution in iff the Fourier transform μ̂ satisfies Kawai’s slowly decreasing condition (S). We also show that there are such that is not surjective on .
Characterization of surjective partial differential operators on spaces of real analytic functions
Let A(Ω) denote the real analytic functions defined on an open set Ω ⊂ ℝⁿ. We show that a partial differential operator P(D) with constant coefficients is surjective on A(Ω) if and only if for any relatively compact open ω ⊂ Ω, P(D) admits (shifted) hyperfunction elementary solutions on Ω which are real analytic on ω (and if the equation P(D)f = g, g ∈ A(Ω), may be solved on ω). The latter condition is redundant if the elementary solutions are defined on conv(Ω). This extends and improves previous...
Characterization of the Besov-Lipschitz and Triebel-Lizorkin Spaces the Case q < 1.