1111-15-771
Rute Lemos* ([email protected]), Departamento de Matemática, Universidade de Aveiro, Campus de
Santiago, 3810-193 Aveiro, Portugal. Aczél type operator inequalities.
In a Lorentz space, the Schwarz inequality holds for timelike vectors with the reverse sign. This yields an inequality for
sequences of real numbers known in the literature as Aczél inequality. Callebaut inequality is a refinement of CauchySchwarz inequality. Having in mind the Kubo-Ando theory of operator means, an operator inequality of Aczél type is
presented and, in particular, a Callebaut’s type interpolation of Aczél inequality is derived.
Acknowledgement: This work was supported by Portuguese funds through CIDMA (Center for Research and Development in Mathematics and Applications) and FCT (Portuguese Foundation for Science and Technology), within project
UID/MAT/04106/2013. (Received February 10, 2015)
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