Generalizations of Buzano inequality for \(n\)-tuples of vectors in inner product spaces with applications
type: Item
instance of: scholarly article
title: Generalizations of Buzano inequality for \(n\)-tuples of vectors in inner product spaces with applications
zbMATH Open document ID: 1394.47025
published in: Tbilisi Mathematical Journal
publication date: 2017-04-03T00:00:00Z
review text: The author establishes some generalizations of the Buzano inequality for \(n\)-tuples of vectors in inner product spaces. Applications for norm and numerical radius inequalities for \(n\)-tuples of bounded linear operators and for functions of normal operators defined by power series with non-negative coefficients are also discussed.
reviewed by: V. Lokesha
Mathematics Subject Classification ID: 47A63
zbMATH DE Number: 6699465
zbMATH Keywords: inner product spaces
zbMATH Keywords: Schwarz inequality
zbMATH Keywords: Buzano inequality
zbMATH Keywords: numerical radius
zbMATH Keywords: operator norm
zbMATH Keywords: functions of normal operators
author: Silvestru Sever Dragomir
MaRDI profile type: Publication
full work available at URL: tmj-2017-0023
OpenAlex ID: W2591431320
cites work: Strengthened Cauchy-Schwarz and H\"older inequalities
cites work: Q4772252
cites work: A strengthened Cauchy-Schwarz inequality for biorthogonal wavelets
cites work: Q3724957
cites work: Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality
cites work: Q5699847
cites work: Q5433658
cites work: Q4821405
cites work: Q3155727
cites work: INEQUALITIES FOR THE NORM AND THE NUMERICAL RADIUS OF LINEAR OPERATORS IN HILBERT SPACES
cites work: Q3512117
cites work: Q4681930
cites work: Q5309945
cites work: Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
cites work: Quasilinearity of some composite functionals associated to Schwarz's inequality for inner products
cites work: Q4862842
cites work: Q3772715
cites work: Q4532875
cites work: Numerical range and accretivity of operator products
cites work: The Cauchy-Schwarz inequality and self-adjoint spaces
cites work: Another look at some new Cauchy-Schwarz type inner product inequalities
cites work: THE CAUCHY-SCHWARZ INEQUALITY IN THE EXTERIOR ALGEBRA
cites work: A Bessel-Schwarz inequality for Gramians and related bounds for determinants
cites work: Q4134418
cites work: Q5433698
cites work: Q5315798
DOI: 10.1515/TMJ-2017-0023
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description: scientific article; zbMATH DE number 6699465