Positivity
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On a tensor-analogue of the Schur product
Positivity - Tập 20 - Trang 621-624 - 2015
We consider the tensorial Schur product
$$R \circ ^\otimes S = [r_{ij} \otimes s_{ij}]$$
for
$$R \in M_n(\mathcal {A}), S\in M_n(\mathcal {B}),......
Measuring the level sets of anisotropic homogeneous functions
Positivity - Tập 15 - Trang 401-409 - 2010
In this note we investigate some basic properties of the level sets of functions which are homogeneous with respect to nonisotropic dilations. In particular we obtain a formula for the volume of the level sets in terms of the area on the level surfaces. We relate the results to some well known mean value formulas for solutions of PDE’s.
Probability measure on conjugation logics
Positivity - Tập 19 - Trang 539-546 - 2014
In the paper we describe probability measures on the conjugation logics of projections and on the logic of all projections.
Some Inequalities in Classical Spaces with Mixed Norms
Positivity - - 2002
We consider some inequalities in such classical Banach Function Spaces as Lorentz, Marcinkiewicz, and Orlicz spaces. Our aim is to explore connections between the norm of a function of two variables on the product space and the mixed norm of the same function, where mixed norm is calculated in function spaces on coordinate spaces, first in one variable, then in the other. This issue is motivated b......
Weak sharp solutions for generalized variational inequalities
Positivity - Tập 21 - Trang 1067-1088 - 2016
We consider weak sharp solutions for the generalized variational inequality problem, in which the underlying mapping is set-valued, and not necessarily monotone. We extend the concept of weak sharpness to this more general framework, and establish some of its characterizations. We establish connections between weak sharpness and (1) gap functions for variational inequalities, and (2) global error ......
On the scalarization method in cone metric spaces
Positivity - Tập 18 - Trang 703-708 - 2014
Recently, Du (J Nonlinear Anal 72:2259–2261, 2010) by using a nonlinear scalarization function, in the setting of locally convex topological vector spaces, could transfer a cone metric space to a usual metric space. Simultaneously, Amini-Harandi and Fakhar (Com Math Appl 59:3529–3534, 2010) by using a notion of base for the cone , in the setting of Banach spaces, could do the same. In this note we......
On the topological mass lattice groups
Positivity - Tập 23 - Trang 811-827 - 2019
Let G to be a torsion free abelian group. In this paper we introduce the following concepts:
Some interesting results about unital lattice groups and Riesz spaces with t......
Multiple Positive Solutions for Eigenvalue Problems of Hemivariational Inequalities
Positivity - Tập 10 - Trang 491-515 - 2006
We study a nonlinear eigenvalue problem with a nonsmooth potential. The subgradients of the potential are only positive near the origin (from above) and near +∞. Also the subdifferential is not necessarily monotone (i.e. the potential is not convex). Using variational techniques and the method of upper and lower solutions, we establish the existence of at least two strictly positive smooth solutio......
Tổng số: 988
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