Good projections of spaces of vector measures onto subspaces of Bochner integrable functions
, 2004 We show that the complementability of L1(μ, X) in cabv(μ, X) implies the complementability of L1(μ, K(Z, X)) in cabv(μ, K(Z, X)), provided the projection from cabv(μ, X) onto L1(μ, X) is “good”, Z* is separable and K(
Emmanuele, Giovanni
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A dual mapping associated to a closed convex set and some subdifferential properties
In this paper, we establish some properties of the multivalued mapping (x, d) ⇒ DC (x; d) that associates to every element x of a linear normed space X the set of linear continuous functionals of norm d ≥ 0 and which separates the closed ball B (x; d ...
APREUTESEI, Gabriela, PRECUPANU, Teodor
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Epigraphical and Uniform Convergence of Convex Functions
, 1995 . We examine when a sequence of lsc convex functions on a Banach space converges uniformly on bounded sets (resp. compact sets) provided it converges Attouch-Wets (resp. Painlev'e-Kuratowski). We also obtain related results for pointwise convergence
Jon D. Vanderwerff, Jonathan M. Borwein
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On non-surjective coarse isometries between Banach spaces
, 2019 Assume that X; Y are real Banach spaces, Y has uniform convexity of type p (≥ 1), and f : X → Y is a standard coarse isometry. In this paper, we show that if∫ ∞ εf(S) 1/P __________ ds < ∞, 1 S1 + 1/pthen there is a ...
Luo, Sijie +3 more
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Convex Functions on "Sequentially Reflexive" Banach Spaces
, 1995 . There is a sizeable class of results precisely relating boundedness, convergence and differentiability properties of continuous convex functions on Banach spaces to whether or not the space contains an isomorphic copy of ` 1 .
Jon Borwein, Jon Vanderwerff
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A note on "Implicit iterative process with errors". [PDF]
Springerplus, 2016 Yolacan E.
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Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions
, 1996 . Various properties of Banach spaces, including the reflexivity and the Schur property of a space, are characterized in terms of properties of corresponding classes of locally Lipschitz functions on those spaces. AMS Classification. 46A55, 46B20, 52A41.
Jon Borwein +2 more
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Dunford-Pettis like properties on tensor products
, 2018 In this paper we study equivalent formulations of the DP*Pp (1 < p < ∞). We show that X has the DP*Pp if and only if every weakly-p-Cauchy sequence in X is a limited subset of X.
Ghenciu, Ioana
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Minkowski valuations on convex functions. [PDF]
Calc Var Partial Differ Equ, 2017 Colesanti A, Ludwig M, Mussnig F.
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Construction of a high-resolution 2.5-Mb transcript map of the human 6p21.2-6p21.3 region immediately centromeric of the major histocompatibility complex. [PDF]
Genome Res, 2000 Tripodis N +5 more
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