A new notion of orthogonality involving area and length

DOI10.1515/ms-2021-0016zbMath1489.46004OpenAlexW3176637561MaRDI QIDQ2054664

Tarapada Bag, Anirban Kundu, Sk. Nazmul

Publication date: 3 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0016

zbMATH Keywords

orthogonality2-normed space2-inner product spaceA-L orthogonalityarea-length orthogonality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Cites Work

• On \(n\)-normed spaces
• On metrizability and normability of 2-normed spaces
• A new orthogonality and angle in a normed space
• Orthogonality in linear metric spaces
• ON b-ORTHOGONALITY IN 2-NORMED SPACES
• Lineare 2‐normierte Räume
• Untersuchungen über verallgemeinerte m‐metrische Räume. I
• 2‐metrische Räume und ihre topologische Struktur
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces
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