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dc.contributor.authorAgredo, J.
dc.contributor.authorLeon, Y.
dc.contributor.authorOsorio, J.
dc.contributor.authorPeña, A.
dc.date.accessioned2021-05-05T04:59:28Z
dc.date.accessioned2021-10-01T17:20:50Z
dc.date.available2019
dc.date.available2021-10-01T17:20:50Z
dc.date.issued2019
dc.identifier.issn1846579X
dc.identifier.urihttps://repositorio.escuelaing.edu.co/handle/001/1391
dc.description.abstractWe obtain a generalization of Buzano’s inequality of vectors in Hilbert spaces , using the theory of algebraic probability spaces. In particular, we extend a result of Dragomir given in [7]. Applications for numerical inequalities for n- tuples of bounded linear operators and functions of operators defined by double power series are also generalized.eng
dc.description.abstractObtenemos una generalización de la desigualdad de Buzano de vectores en espacios de Hilbert , utilizando la teoría de los espacios algebraicos de probabilidad. En particular, extendemos un resultado de Dragomir dado en [7]. Aplicaciones para desigualdades numéricas para n-tuplas de operadores lineales acotados y funciones de operadores definidos por series de potencias dobles también se generalizan. Traducción realizada con la versión gratuita del traductor www.DeepL.com/Translatorspa
dc.format.extent15 páginasspa
dc.format.mimetypeapplication/pdfspa
dc.language.isoengspa
dc.sourcehttp://files.ele-math.com/articles/jmi-13-38.pdfspa
dc.titleBUZANO’S INEQUALITY IN ALGEBRAIC PROBABILITY SPACESeng
dc.typeArtículo de revistaspa
dc.description.notesAcknowledgement. The authors want to highlight the support from Escuela colombiana de ingenier´ıa “Julio Garavito”.¿eng
dc.description.notesJ. Agredo Department of Mathematics Colombian School of Engineering “Julio Garavito” Bogot´a, Colombia e-mail: julian.agredo@escuelaing.edu.coeng
dc.description.notesY. Leon Department of Mathematics Colombian School of Engineering “Julio Garavito” Bogot´a, Colombia e-mail: yessica.leon@mail.escuelaing.edu.coeng
dc.description.notesJ. Osorio Department of Mathematics Colombian School of Engineering “Julio Garavito” Bogot´a, Colombia e-mail: juan.osorio-r@mail.escuelaing.edu.coeng
dc.description.notesA. Pe˜na Department of Mathematics Colombian School of Engineering “Julio Garavito” Bogot´a, Colombia e-mail: alvaro.pena-m@mail.escuelaing.edu.coeng
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dc.contributor.researchgroupMatemáticasspa
dc.identifier.doi10.7153/jmi-2019-13-38
dc.identifier.urlhttps://dx.doi.org/10.7153/jmi-2019-13-38
dc.publisher.placeCroaciaspa
dc.relation.citationeditionJournal of Mathematical Inequalities ISSN: 1846-579X, 2019 vol:13 fasc: 2 págs: 585 - 599spa
dc.relation.citationendpage599spa
dc.relation.citationissue2spa
dc.relation.citationstartpage585spa
dc.relation.citationvolume13spa
dc.relation.indexedN/Aspa
dc.relation.ispartofjournalJournal of Mathematical Inequalitiesspa
dc.relation.referencesJ. AGREDO, F. FAGNOLA, R. REBOLLEDO, Decoherence free subspaces of a quantum Markov semigroup, J. Math. Phys., 55, 112201 (2014).eng
dc.relation.referencesS. ATTAL, Elements of Operators Algebras and Modular Theory, Open Quantum Systems I: The Hamiltonian approach, Springer Verlag, Lectures Notes in Mathematics, 2006, 1–105.eng
dc.relation.referencesO. BRATELLI, D. W. ROBINSON, Operator Algebras and Quantum Statistical Mechanics, SpringerVerlag 1, 1987.eng
dc.relation.referencesM. L. BUZANO, Generalizzazione della diseguaglianza di Cauchy–Schwartz, Rend. Sem. Mat. Univ. e Politech. Torino, 31, (1974), 405–409eng
dc.relation.referencesA. CONNES, Noncommutative Geometry, Academic Press, 1994eng
dc.relation.referencesF. D’ANDREA, Pythagoras Theorem in Noncommutative Geometry, Proceedings of the Conference on Optimal Transport and Noncommutative Geometry, Besancon 2014, Available at arXiv:1507.08773.eng
dc.relation.referencesS. S. DRAGOMIR, Generalizations of Buzano inequality for n -tuples of vectors in inner product spaces with applications, Tbilisi Mathematical Journal, 10, 2 (2017), 29–41.eng
dc.relation.referencesS. S. DRAGOMIR, M. KHOSRAVI, M. S. MOSLEHIAN, Bessel type inequalities in Hilbert modules, Linear Multilinear Algebra, 58, 8 (2010), 967–975eng
dc.relation.referencesS. S. DRAGOMIR, Some inequalities for the norm and the numerical radius of linear operators in Hilbert spaces, Tamkang J. Math., 39, 1 (2008), 1–7.eng
dc.relation.referencesS. S. DRAGOMIR, Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces, Demostratio Math., 40, 2 (2007), 411–417.eng
dc.relation.referencesS. S. DRAGOMIR, A potpourri of Schwarz related inequalities in inner product spaces (II), J. Inequal. Pure Appl. Math.; 7, 1 (2006), Article 14.eng
dc.relation.referencesS. S. DRAGOMIR, I. SANDOR ´ , Some inequalities in pre-Hilbertian spaces, Studia Univ. Babes-Bolyai Math., 32, 1 (1987), 71–78.eng
dc.relation.referencesS. S. DRAGOMIR, Some refinements of Schwartz inequality, Simpozionul de Matematici si Aplicatii, Timisoaria, Romania, 1-2 Noiembrie, (1985), 13–16.eng
dc.relation.referencesF. FAGNOLA, V. UMANIT‘A, Generic quantum Markov semigroups, cycle decomposition and deviation from equilibrium, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15, 3 (2012), 1–17.eng
dc.relation.referencesF. FAGNOLA, R. REBOLLEDO, Algebraic conditions for convergence of a quantum Markov semigroup to a steady state, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 11, 3 (2008), 467–474.eng
dc.relation.referencesF. FAGNOLA, R. REBOLLEDO, Subharmonic projections for a quantum Markov semigroup, J. Math. Phys., 43, 2 (2002).eng
dc.relation.referencesF. FAGNOLA, Quantum Markov semigroups and quantum Markov flows, Proyecciones., 18, 3 (1999), 1–144.eng
dc.relation.referencesJ. I. FUJII, M. FUJII, M. S. MOSLEHIAN, J. E. PECARIC, Y. SEO, Reverses Cauchy-Schwarz type inequalities in pre-inner product C∗ -modules, Hokkaido Math. J., 40, (2011), 1–17.eng
dc.relation.referencesM. FUJII, Operator-valued inner product and operator inequalities, Banach J. Math. Anal., 2, 2 (2008), 59–67.eng
dc.relation.referencesM. FUJII, F. KUBO, Buzano’s inequality and bounds for roots of algebraic equations, Proc. Amer. Math. Soc., 117, (1993), 359–361.eng
dc.relation.referencesD. ILISEVIC, S. VAROSANEC, On the Cauchy-Schwarz inequality and its reverse in semi-inner product C∗ -modules, Banach J. Math. Anal., 1, (2007), 78–84.eng
dc.relation.referencesM. S. MOSLEHIAN, L. - E. PERSSON, Reverse Cauchy-Schwarz inequalities for positive C∗ -valued sesquilinear forms, Math. Inequal. Appl., 4, 12, (2009), 701–709.eng
dc.relation.referencesA. HORA, N. OBATA, Quantum Probability and Spectral Analysis of Graphs, Series: Theoretical and Mathematical Physics, Springer, Berlin Heidelberg, 2007.eng
dc.relation.referencesK. R. PARTHASARATHY, An Introduction to Quantum Stochastic Calculus, Monographs in Mathematics 85, 1992.eng
dc.relation.referencesU. RICHARD, Sur des in´egalit´es du type Wirtinger et leurs application aux ´equationes diff´erentielles ordinaires, Colloquium of Analysis held in Rio de Janeiro, (1972), 233–244.eng
dc.relation.referencesW. RUDIN, Real and complex analysis, McGraw-Hill, 1987.eng
dc.relation.referencesS. SALIMI,Continuous-time quantum walks on semi-regular spidernet graphs via quantum probability theory, Quantum Information Processing, 9, 1 (2010), 75–91.eng
dc.relation.referencesS. SALIMI, Quantum Central Limit Theorem for Continuous-Time Quantum Walks on Odd Graphs in Quantum Probability Theory, International Journal of Theoretical Physics, 47, 12, (2008), 3298–3309.eng
dc.relation.referencesS. SALIMI, Study of continuous-time quantum walks on quotient graphs via quantum probability theory, International Journal of Quantum Information, 6, 4, (2008), 945–957.eng
dc.relation.referencesK. TANAHASHI, A. UCHIYAMA, M. UCHIYAMA, On Schwarz type inequalities, Proc. Amer. Math. Soc., 131, 8, (2003) 2549–2552.eng
dc.relation.referencesM. TAKESAKI, Theory of operator algebras I, Springer-Verlag New York Heidelberg, 1979.eng
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.subject.proposalBuzano’s inequalityeng
dc.subject.proposalAlgebraic probability spaceseng
dc.subject.proposalDesigualdad de Buzanospa
dc.subject.proposalEspacios algebraicos de probabilidad.spa
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