Results 11 to 20 of about 454 (252)
Lower semi-continuous regularization of mappings in partially ordered by cone normed spaces
The scheme of the lower semi-continuous regularization of mappings in normed spaces is proposed. We make no assumptions on the interior of the ordering cone.
A. V. Dovzhenko
doaj +2 more sources
Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
doaj +2 more sources
Contributions to Lattice-like Properties on Ordered Normed Spaces
Banach lattices play an important role in the theory of ordered normed spaces. One reason is, that many ordered normed vector spaces, that are important in practice, turn out to be Banach lattices, on the other hand, the lattice structure and strong relations between order and norm allow a deep understanding of such ordered normed spaces. At this point
Tzschichholtz, Ingo
openaire +4 more sources
Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces.
H. M. Srivastava +3 more
doaj +1 more source
The Order Continuity of the Regular Norm on Regular Operator Spaces [PDF]
Summary: We present here some sufficient conditions for the regular norm on \(\mathcal L^r(E,F)\) to be order continuous, and for \((\mathcal L^r(E,F),\|\cdot\|_r)\) to be a KB-space. In particular, we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular operators.
Chen, Zi Li, Feng, Ying, Chen, Jin Xi
openaire +4 more sources
On Normed Spaces and Modulared Semi-ordered Linear Spaces
application ...
ホンダ, コウジ +2 more
openaire +1 more source
On Partial Orderings of Normed Spaces.
Some ways in which an arbitrary normed space can be partially ordered so that the norm, or at least the topology, is determined by the ordering are discussed. The orderings which are discussed induce either an order unit norm topology or a base norm topology or both, and in this connection vertices and special vertices of unit balls of normed spaces ...
openaire +3 more sources
Advancing Age Modulates Associations Between Cognitive Impairment and Brain Volumes in Early MS
ABSTRACT Introduction Cognitive impairment is common in multiple sclerosis (MS), but manifestations following the first demyelinating event are relatively unexplored. We investigated cross‐sectional associations between magnetic resonance imaging (MRI)–derived brain volumes and the presence of cognitive impairment outcomes five years after the first ...
Piriyankan Ananthavarathan +14 more
wiley +1 more source
We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Hatori, Osamu, Molnár, Lajos
core +1 more source
ABSTRACT Objective To determine whether integration of serum neurofilament light chain (NfL) and cortical dysfunction improves diagnostic accuracy in amyotrophic lateral sclerosis (ALS) when applied alongside the Gold Coast criteria (GCC). Methods In this prospective study, 148 participants with suspected ALS were recruited (101 ALS and 47 with ALS ...
Aicee Dawn Calma +16 more
wiley +1 more source

