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A transfer principle for inequalities in vector lattices |
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| Authors: | Anatoly G. Kusraev |
| Affiliation: | South Mathematical Institute, Vladikavkaz Science Center of the RAS, 362040, Vladikavkaz, Russia |
| Abstract: | A transfer principle from inequalities with inner products to inequalities containing positive semidefinite symmetric bilinear operators with values in a vector lattices is proved. Some applications are also given. |
| Keywords: | Cauchy-Bunyakovski? inequality Jensen inequality Vector lattice Positive bilinear operator Orthosymmetry Homogeneous functional calculus |
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