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

A least distance algorithm for a smooth strictly convex norm

2000 ◽  
Vol 75 (4) ◽  
pp. 445-463 ◽  
Author(s):  
Said Bahi ◽  
V. P. Sreedharan
Keyword(s):  
Strictly Convex ◽  
Strictly Convex Norm ◽  
Convex Norm

l ∞ /c 0 has no Equivalent Strictly Convex Norm

1980 ◽  
Vol 78 (2) ◽  
pp. 225 ◽  
Author(s):  
J. Bourgain
Keyword(s):  
Strictly Convex ◽  
Strictly Convex Norm ◽  
Convex Norm

scholarly journals $l\sp{\infty }/c\sb{0}$ has no equivalent strictly convex norm

1980 ◽  
Vol 78 (2) ◽  
pp. 225-225
Author(s):  
J. Bourgain
Keyword(s):  
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

scholarly journals Least Squares Methods to Minimize Errors in a Smooth, Strictly Convex Norm on Rm

1993 ◽  
Vol 73 (2) ◽  
pp. 180-198 ◽  
Author(s):  
R.W. Owens ◽  
V.P. Sreedharan
Keyword(s):  
Least Squares ◽  
Strictly Convex ◽  
Strictly Convex Norm ◽  
Convex Norm

scholarly journals Least gradient problem with respect to a non-strictly convex norm

2020 ◽  
Vol 200 ◽  
pp. 112049
Author(s):  
Wojciech Górny
Keyword(s):  
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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