reflexive Banach space

reflexive Banach space

[ri¦flek·siv ′bä‚näk ‚spās]
(mathematics)
A Banach space B such that, for every continuous linear functional F on the conjugate space B *, there corresponds a point x0 of B such that F (ƒ) = ƒ(x0) for each element ƒ of B *. Also known as regular Banach space.
References in periodicals archive ?
f) If T is a compact operator on a reflexive Banach space X with a Schauder basis, then T [member of] [[GAMMA].
In this paper, we suppose that E is a reflexive Banach space with dual space [E.
If X is a reflexive Banach space, R: X [right arrow] R is a locally Lipschitz functional satisfying C-condition and for some [rho] > 0 and y [member of] X such that [parallel]y[parallel] > [rho], we have
Since every bounded strongly continuous semigroup of linear operators on a reflexive Banach space is mean ergodic [2], this motivates us, in this paper, to further prove a mean ergodic theorem for an almost surely bounded strongly continuous semigroup of random linear operators on a random reflexive random normed module, so that results in this paper considerably generalize and improve those in [18].
They raised a question about the existence of a best proximity point for a cyclic contraction map in a reflexive Banach space.
The space X is also separable and reflexive Banach space and with the equivalent norm
Let U be an open set in a real reflexive Banach space X and f [member of] [C.
t[greater than or equal to]0] on a reflexive Banach space X an affirmative answer for p = 1 was given in the Theorem 4.
is monotone, hemi-continuous and coercive on the real, separable, reflexive Banach space X.
T] is a reflexive Banach space and the norm [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is equivalent to the norm defined by
continuous, unital representation on a reflexive Banach space E, there is a quasi-expectation Q : L(E) [right arrow] [?
Let E be a KB-space and X a non reflexive Banach space.