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Asplund space
In mathematics — specifically, in functional analysis — an Asplund space or strong differentiability space is a type of well-behaved Banach space. Asplund ...
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BY. DANIEL J. DEIGNAN AND WILLIAM P. ZIEMER('). ABSTRACT. This paper is concerned with the "strong" Lp differentiability properties of Bessel potentials of ...
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is called a strong differentiability space (SDS) if each convex function on X is Frechet differentiable on a dense GS subset of its domain of continuity. Asplund first ...
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TRANSACTIONS OF THE. AMERICAN MATHEMATICAL SOCIETY. Volume 240, June 1978. STRONG DIFFERENTIABILITY OF LIPSCHlTZ FUNCTIONS. BY ...
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For normed linear spaces two similar characterizations of strong differentiability of the norm and rotundity of the dual space are established, but it is shown that in ...
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The comparison of weak and strong differentiability is due to Grothendieck, although the original sources are not widely available. 1. Banach-Alaoglu theorem ...
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We shall present here a direct proof of the strong differentiability of the solution by applying the existence theorem to the over-deter- mined system resulting from ...
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A CLASS OF STRONG DIFFERENTIABILITY SPACES. JAMES B. COLLIER. ABSTRACT. It is shown that if the dual of a Banach space X is weak- ly compactly ...
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strong parabolic differentiability in the real affine plane, using parabolas and ... iVth strong differentiability condition implies the Kth strong condition for 0 < K < N ...
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