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Partial isometries in semi-Hilbertian spaces

✍ Scribed by M. Laura Arias; Gustavo Corach; M. Celeste Gonzalez


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
195 KB
Volume
428
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


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Let 0 < r R and A be a subset of the n-dimensional Euclidean space E n , which is contained in B(x 0 , R) and contains points x 0 , x 0 + re 1 , . . . , x 0 + re n , where the vectors {e i } n i=1 are orthonormal. We show that if f : A β†’ E n is an -isometry, then there is an affine isometry U such t

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We extend Maurey's theorem on the existence of a fixed point for an isometry of a nonempty closed bounded convex subset of a superreflexive space to obtain the existence of common fixed points for countable families of commuting isometries.

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