Geodesic
A note on a paper by Piszczek on Jordan decomposition in noncommutative Schwartz space
Subhash J. Bhatt1
1 Department of Mathematics Sardar Patel University Vallabh Vidyanagar, Gujarat 388120, India
Colloquium Mathematicum, Tome 148 (2017) no. 2, pp. 225-230 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

The positive cone in a closed $^*$-subalgebra of the noncommutative Schwartz algebra of smooth operators is normal, which immediately implies decomposition of a continuous self-adjoint functional as a difference of two positive functionals. A~decomposition as a difference of two representable positive functionals holds precisely for self-adjoint functionals continuous in the $C^*$-operator norm.
DOI : 10.4064/cm6922-6-2016
Keywords: positive cone closed * subalgebra noncommutative schwartz algebra smooth operators normal which immediately implies decomposition continuous self adjoint functional difference positive functionals decomposition difference representable positive functionals holds precisely self adjoint functionals continuous * operator norm

Subhash J. Bhatt 1

1 Department of Mathematics Sardar Patel University Vallabh Vidyanagar, Gujarat 388120, India 
@article{10_4064_cm6922_6_2016,
     author = {Subhash J. Bhatt},
     title = {A note on a paper by {Piszczek} on {Jordan} decomposition in noncommutative {Schwartz} space},
     journal = {Colloquium Mathematicum},
     pages = {225--230},
     year = {2017},
     volume = {148},
     number = {2},
     doi = {10.4064/cm6922-6-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6922-6-2016/}
}
TY  - JOUR
AU  - Subhash J. Bhatt
TI  - A note on a paper by Piszczek on Jordan decomposition in noncommutative Schwartz space
JO  - Colloquium Mathematicum
PY  - 2017
SP  - 225
EP  - 230
VL  - 148
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm6922-6-2016/
DO  - 10.4064/cm6922-6-2016
LA  - en
ID  - 10_4064_cm6922_6_2016
ER  - 
%0 Journal Article
%A Subhash J. Bhatt
%T A note on a paper by Piszczek on Jordan decomposition in noncommutative Schwartz space
%J Colloquium Mathematicum
%D 2017
%P 225-230
%V 148
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm6922-6-2016/
%R 10.4064/cm6922-6-2016
%G en
%F 10_4064_cm6922_6_2016
Subhash J. Bhatt. A note on a paper by Piszczek on Jordan decomposition in noncommutative Schwartz space. Colloquium Mathematicum, Tome 148 (2017) no. 2, pp. 225-230. doi: 10.4064/cm6922-6-2016

Cité par Sources :