Turkish Journal of Mathematics
DOI
10.3906/mat-1303-16
Abstract
In this paper we obtain some properties for the pullback diagram of H^*-algebras. More precisely, we prove that the commutative diagram of H^*-algebras and morphisms A_1 @>\varphi_1>> B_1 @VV\psi_1V @VV\psi_2V A_2 @>\varphi_2>> B_2 is pullback and \psi_1 is an injection if and only if \psi_1 is a surjection, \psi_2 is an injection, and \ker \varphi_1 \cap \ker \psi_1 = \{0\}.
Keywords
H^*-algebra, morphisms, pullback diagram, trace-class
First Page
318
Last Page
324
Recommended Citation
KHANEHGIR, MAHNAZ; AMYARI, MARYAM; and KHIBARY, MARZIEH MORADIAN
(2014)
"Pullback diagram of H^*-algebras,"
Turkish Journal of Mathematics: Vol. 38:
No.
2, Article 13.
https://doi.org/10.3906/mat-1303-16
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss2/13