A COUNTERPART OF BESSEL'S INEQUALITY IN INNER PRODUCT SPACES AND SOME GRUSS TYPE RELATED RESULTS
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Publication:5486509
DOI10.4134/BKMS.2006.43.1.027zbMATH Open1109.26020arXivmath/0305229MaRDI QIDQ5486509
Publication date: 11 September 2006
Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)
Abstract: A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.
Full work available at URL: https://arxiv.org/abs/math/0305229
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inequalities for sums, series and integrals (26D15)
Related Items (3)
Some Bessel type additive inequalities in inner product spaces ⋮ SOME NEW RESULTS RELATED TO BESSEL AND GRUSS INEQUALITIES IN 2-INNER PRODUCT SPACES AND APPLICATIONS ⋮ A reverse of Bessel's inequality in 2-inner product spaces and some Grüss type related results with applications
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