On a class of discontinuous operators in Hilbert spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 197-202
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We construct a class of discontinuous operators in infinite-dimensional separable Hilbert spaces, answering a natural question which arises in comparing a fixed point theorem of Altman and Shinbrot ([1], [4]) with its improvement obtained by Ricceri ([2], [3]).
Classification :
47H10
Keywords: fixed point; Hilbert space; weak topology; discontinouous operator
Keywords: fixed point; Hilbert space; weak topology; discontinouous operator
@article{CMUC_2003__44_2_a0,
author = {Boscarino, Sebastiano},
title = {On a class of discontinuous operators in {Hilbert} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {197--202},
publisher = {mathdoc},
volume = {44},
number = {2},
year = {2003},
mrnumber = {2026157},
zbl = {1129.47309},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2003__44_2_a0/}
}
TY - JOUR AU - Boscarino, Sebastiano TI - On a class of discontinuous operators in Hilbert spaces JO - Commentationes Mathematicae Universitatis Carolinae PY - 2003 SP - 197 EP - 202 VL - 44 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2003__44_2_a0/ LA - en ID - CMUC_2003__44_2_a0 ER -
Boscarino, Sebastiano. On a class of discontinuous operators in Hilbert spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 197-202. http://geodesic.mathdoc.fr/item/CMUC_2003__44_2_a0/