Mahnaz KHANEHGIR, Maryam AMYARI, Marzieh Moradian KHIBARY

82110

Pullback diagram of H*-algebras

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 A1 @>j1>> B1 @VVy1V @VVy2V A2 @>j2>> B2 is pullback and y1 is an injection if and only if y1 is a surjection, y2 is an injection, and \ker j1 \cap \ker y1 = \{0\}.
Anahtar Kelimeler:

H*-algebra, morphisms, pullback diagram, trace-class

Pullback diagram of H*-algebras

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 A1 @>j1>> B1 @VVy1V @VVy2V A2 @>j2>> B2 is pullback and y1 is an injection if and only if y1 is a surjection, y2 is an injection, and \ker j1 \cap \ker y1 = \{0\}.
Keywords:

H*-algebra, morphisms, pullback diagram, trace-class,

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  • ∗ Bakic, D., Guljas, B.: Operators on Hilbert H-modules. J. Operator Theory 46, 123–137 (2001). ∗
  • Balachandran, V.K., Swaminathan, N.: Real H- algebras. J. Funct. Anal. 65, 64–75 (1986). ∗
  • Pedersen, G.K.: Pullback and pushout constructions in C-algebra theory. J. Funct. Anal. 167, 243–344 (1999). ∗
  • Saworotnow, P.P., Friedell, J.C.: Trace-class for an arbitrary H*-algebra. Proc. Amer. Math. Soc. 26, 95–100 (1970).
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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