-algebras of operators in non-archimedean Hilbert spaces
Commentationes Mathematicae Universitatis Carolinae (1992)
- Volume: 33, Issue: 4, page 573-580
- ISSN: 0010-2628
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topAlvarez, J. Antonio. "$C^\ast $-algebras of operators in non-archimedean Hilbert spaces." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 573-580. <http://eudml.org/doc/247360>.
@article{Alvarez1992,
abstract = {We show several examples of n.av̇alued fields with involution. Then, by means of a field of this kind, we introduce “n.aḢilbert spaces” in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed.},
author = {Alvarez, J. Antonio},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-archimedean Hilbert space; non-archimedean $C^\ast $-algebra; non-Archimedean Hilbert space; non-Archimedean -algebra; n.a. Hilbert spaces; n.a. valued fields with involution; Hermitian sesquilinear form; algebra of bounded operators},
language = {eng},
number = {4},
pages = {573-580},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {$C^\ast $-algebras of operators in non-archimedean Hilbert spaces},
url = {http://eudml.org/doc/247360},
volume = {33},
year = {1992},
}
TY - JOUR
AU - Alvarez, J. Antonio
TI - $C^\ast $-algebras of operators in non-archimedean Hilbert spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 573
EP - 580
AB - We show several examples of n.av̇alued fields with involution. Then, by means of a field of this kind, we introduce “n.aḢilbert spaces” in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed.
LA - eng
KW - non-archimedean Hilbert space; non-archimedean $C^\ast $-algebra; non-Archimedean Hilbert space; non-Archimedean -algebra; n.a. Hilbert spaces; n.a. valued fields with involution; Hermitian sesquilinear form; algebra of bounded operators
UR - http://eudml.org/doc/247360
ER -
References
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