Contractive projections and Seever’s identity in complex -algebras
Commentationes Mathematicae Universitatis Carolinae (2003)
- Volume: 44, Issue: 2, page 203-215
- ISSN: 0010-2628
Access Full Article
topAbstract
topHow to cite
topHadded, Fatma. "Contractive projections and Seever’s identity in complex $f$-algebras." Commentationes Mathematicae Universitatis Carolinae 44.2 (2003): 203-215. <http://eudml.org/doc/249200>.
@article{Hadded2003,
abstract = {In this paper we give necessary and sufficient conditions in order that a contractive projection on a complex $f$-algebra satisfies Seever’s identity.},
author = {Hadded, Fatma},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {vector lattice; $\sigma $-Dedekind complete vector lattice; Dedekind complete vector lattice; complex $f$-algebra; contractive projection; vector lattice; complex -algebra; contractive projection},
language = {eng},
number = {2},
pages = {203-215},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Contractive projections and Seever’s identity in complex $f$-algebras},
url = {http://eudml.org/doc/249200},
volume = {44},
year = {2003},
}
TY - JOUR
AU - Hadded, Fatma
TI - Contractive projections and Seever’s identity in complex $f$-algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 2
SP - 203
EP - 215
AB - In this paper we give necessary and sufficient conditions in order that a contractive projection on a complex $f$-algebra satisfies Seever’s identity.
LA - eng
KW - vector lattice; $\sigma $-Dedekind complete vector lattice; Dedekind complete vector lattice; complex $f$-algebra; contractive projection; vector lattice; complex -algebra; contractive projection
UR - http://eudml.org/doc/249200
ER -
References
top- Bernau S.J., Huijmans C.B., The order bidual of almost -algebras and -algebras, Trans. Amer. Math. Soc. 347 (1995), 4259-4274. (1995) MR1308002
- Beukers F., Huijmans C.B., de Pagter B., 10.1007/BF01187219, Math. Z. 183 (1983), 131-144. (1983) MR0701362DOI10.1007/BF01187219
- Fremlin D.H., Topological Riesz Spaces and Measure Theory, Cambridge University Press, 1974. Zbl0273.46035MR0454575
- Friedman Y., Russo B., Contractive projections on , Trans. Amer. Math. Soc. 273 (1982), 57-73. (1982) MR0664029
- Huijsmans C.B., The order bidual of lattice ordered algebras II, J. Operator Theory 22 (1989), 277-290. (1989) Zbl0763.46004MR1043728
- Huijsmans C.B., de Pagter B., 10.1016/0022-247X(86)90340-9, J. Math. Anal. Appl. 113 (1986), 163-184. (1986) Zbl0604.47024MR0826666DOI10.1016/0022-247X(86)90340-9
- Huijsmans C.B., de Pagter B., Subalgebras and Riesz subspaces of an -algebra, Proc. London Math. Soc. (3) 48 (1984), 161-174. (1984) Zbl0534.46010MR0721777
- Huijsmans C.B., de Pagter B., 10.1016/0022-1236(84)90052-1, J. Funct. Anal. 59 (1984), 41-64. (1984) Zbl0549.46006MR0763776DOI10.1016/0022-1236(84)90052-1
- Luxemburg W.A.J., Zaanen A.C., Riesz Spaces I, North-Holland, Amsterdam, 1971.
- Schaefer H.H., Banach Lattices and Positive Operators, Springer, Berlin, 1974. Zbl0296.47023MR0423039
- Seever G.L., 10.2140/pjm.1966.17.159, Pacific J. Math. 17 (1966), 159-166. (1966) Zbl0137.10002MR0192356DOI10.2140/pjm.1966.17.159
- Triki A., 10.1090/conm/232/03410, Contemp. Math. 232 (1999), 345-348. (1999) Zbl0946.46006MR1678346DOI10.1090/conm/232/03410
- Triki A., On algebra homomorphisms in complex almost -algebras, Comment. Math. Univ. Carolinae, 43.1 (2002), 23-31. (2002) MR1903304
- Triki A., When the order bidual of an -algebra has a unit element, Faculté des Sciences de Tunis, preprint 2002.
- Zaanen A.C., Riesz Spaces II, North-Holland, Amsterdam, 1983. Zbl0519.46001MR0704021
- Wulbert D.E., 10.1215/ijm/1256053428, Illinois J. Math. 13 (1969), 689-693. (1969) Zbl0179.18201MR0256176DOI10.1215/ijm/1256053428
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.