Results 41 to 50 of about 428,488 (166)

Extreme and exposed symmetric bilinear forms on the space ${\mathcal L}_{s}(^2 l_{\infty}^2)$

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
We classify extreme points and exposed points of the unit ball of the space of bilinear symmetric forms on the real Banach space of bilinear symmetric forms on $l_{\infty}^2.$ It is shown that for this case, the set of extreme points is equal to the set ...
Sung Guen Kim
doaj   +1 more source

Conjugate points on a limiting extremal [PDF]

open access: yesProceedings of the National Academy of Sciences, 1976
Theorem 1 , together with the author's extensions of the Sturmian Comparison Theorems, will suffice to establish the basic Theorem 27.3, p. 211 of Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold.
openaire   +3 more sources

EXTREME POINTS AND STRICT CONVEXITY

open access: yesDemonstratio Mathematica, 1994
The authors recall the definitions of a 2-normal linear space and an extreme point on its ``unit cylinder'' (an analogue of the unit ball in a n.l.s.), then prove several characterizations of extreme points and show that a 2-normal space is ``strictly convex'' (according to an analogous definition of strict convexity) if and only if every point on the ...
Cho, Yeol Je   +2 more
openaire   +1 more source

Certain classes of harmonic functions pertaining to special functions [PDF]

open access: yesМатематичні Студії, 2011
Making use of generalized Dziok-Srivastava operator we introduced a new class of complexvalued harmonic functions which are orientation preserving, univalent and starlike in the unit disc.
G. Murugusundaramoorthy   +2 more
doaj  

Determining the Viability of an Unbounded Polyhedron for a Switched System

open access: yesDiscrete Dynamics in Nature and Society, 2023
This paper proposes a new method to determine the viability of a switched system on a cone and an unbounded polyhedron. First, we investigate the viability condition on a cone.
Jianfeng Lv, Na Zhao
doaj   +1 more source

Questions About Extreme Points

open access: yesIntegral Equations and Operator Theory, 2023
AbstractWe discuss the geometry of the unit ball—specifically, the structure of its extreme points (if any)—in subspaces of$$L^1$$L1and$$L^\infty $$L∞on the circle that are formed by functions with prescribed spectral gaps. A similar issue is considered for kernels of Toeplitz operators in$$H^\infty $$H∞.
openaire   +4 more sources

Extreme Points and the Diameter Norm

open access: yesRocky Mountain Journal of Mathematics, 2004
Let \(X\) be an infinite compact Hausdorff space. Let \(A \subset C(X)\) be a closed, point separating subspace containing constants \(C\) (real scalars). It is well-known that \(A\) can be identified with the space of affine continuous functions on its state space. If one equips the quotient space \(A/C\) with the norm \(\| [f]\| = \text{diam}(f(X))\),
Font, Juan J., Sanchis, Manuel
openaire   +3 more sources

On the extreme points of some classes of holomorphic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let U be the unit disk, D⊃U an open connected set and z0∈D. Let also P(z0,c,D) be the class of holomorphic functions in D for which f(z0)=c and Ref(z)>0 in U. We find the extreme points of the class P(z0,c,D).
Nicolas Samaris
doaj   +1 more source

Extreme Distances in Multicolored Point Sets [PDF]

open access: yesJournal of Graph Algorithms and Applications, 2002
Summary: Given a set of \(n\) colored points in some \(d\)-dimensional Euclidean space, a bichromatic closest (resp. farthest) pair is a closest (resp. farthest) pair of points of different colors. We present efficient algorithms to maintain both a bichromatic closest pair and a bichromatic farthest pair when the the points are fixed but they ...
Adrian Dumitrescu, Sumanta Guha
openaire   +3 more sources

Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

open access: yesJournal of Inequalities and Applications, 2020
In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
doaj   +1 more source

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