On product of projections
Archivum Mathematicum (2004)
- Volume: 040, Issue: 4, page 355-357
- ISSN: 0044-8753
Access Full Article
topAbstract
topHow to cite
topMoslehian, Mohammad Sal. "On product of projections." Archivum Mathematicum 040.4 (2004): 355-357. <http://eudml.org/doc/249309>.
@article{Moslehian2004,
abstract = {An operator with infinite dimensional kernel is positive iff it is a positive scalar times a certain product of three projections.},
author = {Moslehian, Mohammad Sal},
journal = {Archivum Mathematicum},
keywords = {projection; positive operator; factorization; positive operator; factorization},
language = {eng},
number = {4},
pages = {355-357},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On product of projections},
url = {http://eudml.org/doc/249309},
volume = {040},
year = {2004},
}
TY - JOUR
AU - Moslehian, Mohammad Sal
TI - On product of projections
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 4
SP - 355
EP - 357
AB - An operator with infinite dimensional kernel is positive iff it is a positive scalar times a certain product of three projections.
LA - eng
KW - projection; positive operator; factorization; positive operator; factorization
UR - http://eudml.org/doc/249309
ER -
References
top- Fong C. K., Wu P. Y., Diagonal operators: dilation, sum and product, Acta Sci. Math. (Szeged) 57 (1993), No. 1-4, 125–138. (1993) Zbl0819.47047MR1243273
- Halmos P. R., Products of shifts, Duke Math. J. 39 (1972), 779–787. (1972) Zbl0254.47038MR0313860
- Halmos P. R., Kakutani S., Products of symmetries, Bull. Amer. Math. Soc. 64 (1958), 77–78. (1958) Zbl0084.10602MR0100225
- Hawkins J. B., Kammerer W. J., A class of linear transformations which can be written as the product of projections, Proc. Amer. Math. Soc. 19 (1968), 739–745. (1968) MR0225195
- Phillips N. C., Every invertible Hilbert space operator is a product of seven positive operators, Canad. Math. Bull. 38 (1995), no. 2, 230–236. (1995) Zbl0826.46049MR1335103
- Radjavi H., On self-adjoint factorization of operators, Canad. J. Math. 21 (1969), 1421–1426. (1969) Zbl0188.44301MR0251575
- Radjavi H., Products of hermitian matrices and symmetries, Proc. Amer. Math. Soc. 21 (1969), 369–372; 26 (1970), 701. (1969) Zbl0175.30703MR0240116
- Wu P. Y., Product of normal operators, Canad. J. Math. XL, No 6 (1988), 1322–1330. (1988) MR0990101
- Wu P. Y., The operator factorization problems, Lin. Appl. 117 (1989), 35–63. (1989) Zbl0673.47018MR0993030
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.