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Quasilinearity of some composite functionals associated to Schwarz’s inequality for inner products

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Abstract

The quasilinearity of certain composite functionals associated to Schwarz’s celebrated inequality for inner products is investigated. Applications for operators in Hilbert spaces are given as well.

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Authors and Affiliations

  1. Mathematics, School of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC, 8001, Australia

    S. S. Dragomir

  2. School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg, 2050, South Africa

    S. S. Dragomir

  3. College 12, Reşiţa, Jud, Caraş-Severin, Romania

    Anca C. Goşa

Authors
  1. S. S. Dragomir
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  2. Anca C. Goşa
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Correspondence to S. S. Dragomir.

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Communicated by Dénes Petz

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Dragomir, S.S., Goşa, A.C. Quasilinearity of some composite functionals associated to Schwarz’s inequality for inner products. Period Math Hung 64, 11–24 (2012). https://doi.org/10.1007/s10998-012-9011-x

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  • DOI: https://doi.org/10.1007/s10998-012-9011-x

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