An upper bound on the dimension of the reflexivity closure

0338965 - MÚ 2010 RIV US eng J - Journal Article
Ambrozie, Calin-Grigore - Kuzma, B. - Müller, Vladimír
An upper bound on the dimension of the reflexivity closure.
Proceedings of the American Mathematical Society. Roč. 138, č. 5 (2010), s. 1721-1731. ISSN 0002-9939. E-ISSN 1088-6826
R&D Projects: GA MŠMT MEB090905; GA ČR GA201/09/0473
Institutional research plan: CEZ:AV0Z10190503
Keywords : linear space * reflexivity closure
Subject RIV: BA - General Mathematics
Impact factor: 0.601, year: 2010
http://www.ams.org/journals/proc/2010-138-05/S0002-9939-09-10184-3/

We give a sharp estimate on the dimension of the reflexivity closure of a linear space. Let X and Y be linear spaces over a commutative, algebraicelly closed field. Let S be a linear space of operators from X to Y. Suppore that the dimension of S in n. Then the reflexivity closure of S has dimension less or equal to n(n+1)/2.
Permanent Link: http://hdl.handle.net/11104/0182607