Further arguments for slice convergence in nonreflexive spaces

1994 ◽  
Vol 2 (4) ◽  
pp. 529-544 ◽  
Author(s):  
Jon Borwein ◽  
Jon Vanderwerff
Keyword(s):  
Slice Convergence ◽  
Nonreflexive Spaces

On the Range of Maximal Monotone Operators in Nonreflexive Spaces

1985 ◽  
Vol 120 (1) ◽  
pp. 195-201 ◽  
Author(s):  
Eckehard Krauss
Keyword(s):  
Maximal Monotone ◽  
Maximal Monotone Operators ◽  
Monotone Operators ◽  
Nonreflexive Spaces

scholarly journals Characterizations of infinite-dimensional and nonreflexive spaces

1975 ◽  
Vol 57 (2) ◽  
pp. 365-369 ◽  
Author(s):  
M. Edelstein ◽  
L. Keener
Keyword(s):  
Infinite Dimensional ◽  
Nonreflexive Spaces

The slice topology: a viable alternative to mosco convergence in nonreflexive spaces

1992 ◽  
Vol 19 (3) ◽  
pp. 271-290 ◽  
Author(s):  
Gerald Beer
Keyword(s):  
Viable Alternative ◽  
Mosco Convergence ◽  
Nonreflexive Spaces

scholarly journals Slice convergence of parametrised sums of convex functions in non-reflexive spaces

1999 ◽  
Vol 60 (3) ◽  
pp. 429-458 ◽  
Author(s):  
Robert Wenczel ◽  
Andrew Eberhard
Keyword(s):  
Convex Functions ◽  
Mosco Convergence ◽  
Normed Spaces ◽  
Unified Framework ◽  
Dual Spaces ◽  
Slice Convergence ◽  
Sequential Continuity ◽  
Kuratowski Convergence ◽  
Primal And Dual ◽  
Fenchel Conjugation

The objectives of this study of slice convergence are two-fold. The first is to derive results regarding the passage of certain semi–convergences through Young–Fenchel conjugation. These semi–convergences arise from the splitting of the usual slice topology in the primal and dual spaces into (non-Hausdorff) topologies: the upper slice topology ; a topology generating a convergence closely resembling the bounded–weak* upper Kuratowski convergence; along with the respective primal and dual lower Kuratowski topologies. This gives rise to topological convergences not reliant on sequentially–based definitions found in many such studies, and associated topological continuity results for conjugation (in normed spaces), in contrast to the usual sequential continuity exhibited by analogues of Mosco convergence. The second objective is to study the passage of slice convergence through addition. Such sum theorems have been derived in other works and we establish previous theorems from a unified framework as well as obtaining a new result.

Wave equations in nonreflexive spaces

1993 ◽  
pp. 235-238
Author(s):  
Yukio Kōmura ◽  
Kiyoko Furuya
Keyword(s):  
Wave Equations ◽  
Nonreflexive Spaces

scholarly journals Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces

2020 ◽  
Vol 194 ◽  
pp. 111487 ◽  
Author(s):  
Miroslav Bulíček ◽  
Piotr Gwiazda ◽  
Martin Kalousek ◽  
Agnieszka Świerczewska-Gwiazda
Keyword(s):  
Elliptic Systems ◽  
Nonlinear Elliptic Systems ◽  
Nonlinear Elliptic ◽  
Nonreflexive Spaces

Unbounded Observers and Riccati Operators in Nonreflexive Spaces

2003 ◽  
pp. 121-136
Author(s):  
W. Desch ◽  
E. Fasanga ◽  
J. Milota
Keyword(s):  
Nonreflexive Spaces
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