论文信息 - On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules

On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules

There are many known Cauchy-Schwarz-type inequalities which are valid in different frameworks. In this paper we consider the A-valued Cauchy-Schwarz inequality and its reverse in a semi-inner product A-module over the C*-algebra A. Some remarks on the A-valued Cauchy-Schwarz inequality in a semi-inner product A-module over the H*-algebra A are also given.

D. Ilišević | S. Varošanec

[1] S. Dragomir. A Counterpart of Schwarz's Inequality in Inner Product Spaces , 2003, math/0305373.

[2] E. Christopher Lance,et al. Hilbert C*-Modules: Stabilisation or absorption , 1995 .

[3] G. Murphy. C*-Algebras and Operator Theory , 1990 .

[4] James F. Smith. The p-classes of an H∗-algebra , 1972 .

[5] Dijana Iliÿ. Quadratic functionals on modules over complex Banach ∗-algebras with an approximate identity , 2005 .

[6] Themistocles M. Rassias,et al. Functional equations, inequalities and applications , 2003 .

[7] T. Rassias. Survey on classical inequalities , 2000 .