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Weakly compact sets and smooth norms in Banach spaces [PDF]
Two smoothness characterisations of weakly compact sets in Banach spaces are given. One that involves pointwise lower semicontinuous norms and one that involves projectional resolutions of identity.
Fabian, Marián +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eklund, T. (Ted) +3 more
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Norm attainment for compact operators on reflexive Banach spaces
This paper explores the norm attainment of compact operators on reflexive Banach spaces, emphasizing the interplay between geometric and structural properties. Key results include characterizations of norm attainment through sequences in the unit sphere, uniqueness of norm attainment in strictly convex spaces, and stability of norm attainment under ...
null Mogoi Evans, null Obogi Karieko
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The non-compact normed space of norms on a finite-dimensional Banach space
We discuss a new pseudometric on the space of all norms on a finite-dimensional vector space (or free module) $\mathbb{F}^k$, with $\mathbb{F}$ the real, complex, or quaternion numbers. This metric arises from the Lipschitz-equivalence of all norms on $\mathbb{F}^k$, and seems to be unexplored in the literature.
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AMSTEX, 31 pages. This paper has been circulated (in hard copy version) under the Title : The fundamental group of the von Neumann algebra of any cocompact subgroup of $PSL(2,R)$ contains the positive rationals. This is a revised version- Some (rather minor) errors have been corrected and the Title has been changed to something which looked more ...
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Dynamics of Fractional Delayed Reaction-Diffusion Equations. [PDF]
Liu L, Nieto JJ.
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Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]
Poiatti A.
europepmc +1 more source
A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators. [PDF]
Quan JJ, Narrania D, Raj K, Cai QB.
europepmc +1 more source
New fixed points of mixed monotone operators with applications to nonlinear integral equations. [PDF]
Xu S, Han Y, Lin S, Zhou G.
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Flow of Dilute Aqueous Polymer Solutions in a Heterogeneous Porous Medium: Existence Results for Steady and Unsteady Cases. [PDF]
Baranovskii ES, Artemov MA.
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