Weak \(n\)-inner product spaces

DOI10.1007/s43034-020-00108-3zbMath1470.46045arXiv1904.09542OpenAlexW3125123436MaRDI QIDQ2228538

Radu Păltănea, Nicuşor Minculete

Publication date: 17 February 2021

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09542

zbMATH Keywords

Cauchy-Schwarz inequality\(n\)-inner product space\(n\)-pre-Hilbert space

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Classes of \(I\)-convergent double sequences over \(n\)-normed spaces
• Applications of statistical convergence to \(n\)-normed spaces
• Another look at some new Cauchy-Schwarz type inner product inequalities
• On \(n\)-norm preservers and the Aleksandrov conservative \(n\)-distance problem
• Some seminormed difference sequence spaces over \(n\)-normed spaces defined by a Musielak-Orlicz function of order \((\alpha, \beta)\)
• A fixed point theorem in \(n\)-Banach spaces and Ulam stability
• A Tingley's type problem in \(n\)-normed spaces
• Chiò's and Dodgson's determinantal identities
• Orthogonality and Orthonormality inn-Inner Product Spaces
• On the Chebyshev functional
• n-Inner Product Spaces
• Lineare 2‐normierte Räume
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