A general duality theorem for marginal problems

1995 ◽  
Vol 101 (3) ◽  
pp. 311-319 ◽  
Author(s):  
D. Ramachandran ◽  
L. R�schendorf
2012 ◽  
Vol 209 (2) ◽  
pp. 151-167 ◽  
Author(s):  
Mathias Beiglböck ◽  
Christian Léonard ◽  
Walter Schachermayer

1965 ◽  
Vol 17 (2-3) ◽  
pp. 161-170 ◽  
Author(s):  
Paul Moeseke

1997 ◽  
Vol 31 (4) ◽  
pp. 593-608 ◽  
Author(s):  
Gerald J. Massey

Briefly, the following things are done in this paper. An informal exposition of the significance of partial truth tables in modal logic is presented. The intuitive concept of a truth tabular sentence connective is examined and made precise. From among a vast assortment of truth tabular connectives, the semantically well-behaved ones (called regular connectives) are singled out for close investigation. The familiar concept of functional completeness is generalized to all sets of regular connectives, and the functional completeness (or incompleteness) of selected sets of connectives is established. Some modal analogues of Sheffer's stroke are presented, i.e., single connectives are introduced which serve to define not only the truth functional connectives but all the regular modal connectives as well. The notion of duality is extended to all regular connectives and a general duality theorem is proved. Lastly, simplified proofs are given of several metatheorems about the system S5.


2001 ◽  
Vol 45 (2) ◽  
pp. 350-356 ◽  
Author(s):  
D. Ramachandran ◽  
L. Rüschendorf
Keyword(s):  

1972 ◽  
Vol 75 (1) ◽  
pp. 68-72 ◽  
Author(s):  
J.M Aarts ◽  
T Nishiura
Keyword(s):  

1979 ◽  
Vol 20 (2) ◽  
pp. 193-198 ◽  
Author(s):  
Ivan Singer

We prove that sup(f-h)(E) = sup(h*-f*)(E*), where f is a proper lower semi-continuous convex functional on a real locally convex space E, h: E → = [-∞, +∞] is an arbitrary-functional and, f*, h* are their convex conjugates respectively. When h = δG, the indicator of a bounded subset G of E, this yields a formula for sup f(G).


1992 ◽  
Vol 46 (1) ◽  
pp. 167-175
Author(s):  
R. Cheng

A number of Szegö-type prediction error formulas are given for two-parameter stationary random fields. These give rise to an array of elementary inequalities and illustrate a general duality relation.


2004 ◽  
Vol 20 (6) ◽  
pp. 1079-1088
Author(s):  
Mao Zheng Guo ◽  
Xiao Xia Zhang
Keyword(s):  

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