Gruss type inequalities in semi-inner product C*-modules and applications

2015/06/08 by A. G. Ghazanfari, Ghazanfari, A. G., S. Soleimani +2
Mathematics · #26D99 #46H25 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Algebra over a field #Bounded function #Computer science #Discrete mathematics #FOS: Mathematics #Fourier transform #Functional Analysis (math.FA) #Geology #Geometry #Hilbert space #Inequality #Inner product space #Mathematical Inequalities and Applications #Mathematical analysis #Mathematics #Operator Algebras (math.OA) #Primary 46L08 #Product (mathematics) #Pure mathematics #Secondary 46C99 #Space (punctuation) #Tuple #Type (biology) #math.FA #math.OA #msc:26D99 #msc:46C99 #msc:46H25 #msc:46L08

paper · pdf · doi:10.48550/arxiv.1506.02519

arXiv admin note: substantial text overlap with arXiv:1409.4990; text overlap with arXiv:math/0309354 by other authors

arxiv created 2015/06/08 · openalex publication_date 2015/06/08 · arxiv updated 2015/06/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Some Gruss type inequalities in semi-inner product modules over C*-algebras for n-tuples of vectors are established. Also we give their natu- ral applications for the approximation of the discrete Fourier and the Melin transforms of bounded linear operators on a Hilbert space.

Citations

• Some Grüss type inequalities for n-tuples of vectors in semi-inner modules
• Advances in Inequalities of the Schwarz, Gruss and Bessel Type in Inner Product Spaces

Related

• Some Grüss type inequalities for n-tuples of vectors in semi-inner modules
• A Gruss type inequality for vector-valued functions in Hilbert C*-modules
• Some Gruss type inequalities for Frechet differentiable mappings
• Advances in Inequalities of the Schwarz, Gruss and Bessel Type in Inner Product Spaces
• Some Gruss Type Inequalities in Inner Product Spaces