An algorithm for best approximate solutions ofAx=b with a smooth strictly convex norm

1977 ◽  
Vol 29 (1) ◽  
pp. 83-91 ◽  
Author(s):  
R. W. Owens
Keyword(s):  
Approximate Solutions ◽  
Strictly Convex ◽  
Strictly Convex Norm ◽  
Convex Norm

Subspaces of ℓ1 with strictly convex norm

1983 ◽  
Vol 33 (3) ◽  
pp. 213-215 ◽  
Author(s):  
M. I. Kadets ◽  
V. P. Fonf
Keyword(s):  
Strictly Convex ◽  
Strictly Convex Norm ◽  
Convex Norm

scholarly journals The ordered anti-median problem with distances derived from a strictly convex norm

2013 ◽  
Vol 161 (4-5) ◽  
pp. 642-649
Author(s):  
Antonio J. Lozano ◽  
Juan A. Mesa ◽  
Frank Plastria
Keyword(s):  
Median Problem ◽  
Strictly Convex ◽  
Strictly Convex Norm ◽  
Convex Norm

CONVERGENCE OF THIN FILM APPROXIMATION FOR A SCALAR CONSERVATION LAW

2005 ◽  
Vol 02 (01) ◽  
pp. 183-199 ◽  
Author(s):  
FELIX OTTO ◽  
MICHAEL WESTDICKENBERG
Keyword(s):  
Thin Film ◽  
Conservation Law ◽  
Approximate Solutions ◽  
Strictly Convex ◽  
Scalar Conservation Law ◽  
Scalar Conservation

In this paper we consider the thin film approximation of a 1D scalar conservation law with strictly convex flux. We prove that the sequence of approximate solutions converges to the unique Kružkov solution.

Denseness of norm-attaining operators into strictly convex spaces

1999 ◽  
Vol 129 (6) ◽  
pp. 1107-1114 ◽  
Author(s):  
M. D. Acosta
Keyword(s):  
Von Neumann Algebra ◽  
Von Neumann ◽  
Infinite Dimensional ◽  
Strictly Convex ◽  
Infinite Dimensional Banach Space ◽  
Strictly Convex Norm ◽  
Property B ◽  
Norm Attaining Operators ◽  
Norm Attaining ◽  
Convex Spaces

We show that no infinite-dimensional Banach space provided with a strictly convex norm satisfies Lindenstrauss's property B. This is a generalization of previous results by Lindenstrauss for rotund spaces isomorphic to C0 and by Gowers for ℓp (1 < p < ∞). Also, there is an appropriate complex version of the announced result that works for all the C-strictly convex spaces. As a consequence, the Hardy space H1, any infinite-dimensional complex L1(μ), and, in general, any infinite-dimensional predual of a von Neumann algebra lacks Lindenstrauss's property B.

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