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Extreme and exposed symmetric bilinear forms on the space ${\mathcal L}_{s}(^2 l_{\infty}^2)$
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
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Conjugate points on a limiting extremal [PDF]
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.
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EXTREME POINTS AND STRICT CONVEXITY
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
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Certain classes of harmonic functions pertaining to special functions [PDF]
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
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Determining the Viability of an Unbounded Polyhedron for a Switched System
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
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Questions About Extreme Points
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∞.
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Extreme Points and the Diameter Norm
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
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On the extreme points of some classes of holomorphic functions
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
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Extreme Distances in Multicolored Point Sets [PDF]
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
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
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
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