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We define continuous C*-algebras over a topological space X and establish some basic results. If X is a locally compact Hausdorff space, continuous C*-algebras over X are equivalent to ordinary contin...
Computing the time-continuous Optimal Mass Transport Problem without Lagrangian techniques
AMS Classification 35F40 35L85 35R05 62-99
2010/12/8
This work originates from a heart’s images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed se...
Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces
continuous selection collectively fixed point $FC$-space
2007/12/11
Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-...
PRODUCTS AND QUOTIENTS OF (p,s)-ABSOLUTELY CONTINUOUS OPERATOR IDEALS
(p,s)-ABSOLUTELY CONTINUOUS OPERATOR IDEALS {\cal P}p, s
2010/3/17
We obtain a generalization of the ideal {\cal M}(q,p) of (q,p)-mixing operators-in the sense of Pietsch- as a consequence of the study of the quotients of (p, s)-absolutely continuous operator ideals ...