Some study of the orthogonalities based on double integrals
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Publication:6661022
DOI10.1007/S12215-024-01140-1MaRDI QIDQ6661022
Jinyu Xia, Silvestru Sever Dragomir, Ranran Wang, Qi Liu
Publication date: 10 January 2025
Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)
orthogonalityinner product spacesBirkhoff-James orthogonalityorthogonality preserving mappingHermite-Hadamard type orthogonality
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20)
Cites Work
- Operators preserving sesquilinear form
- AOP mappings and the distance to the scalar multiples of isometries
- Orthogonality connected with integral means and characterizations of inner product spaces
- Angle preserving mappings
- Characterization of real inner product spaces by Hermite-Hadamard type orthogonalities
- Orthogonality in linear metric spaces.
- On the geometry of abstract vector spaces.
- Orthogonality in normed spaces
- Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space
- An extension of orthogonality relations based on norm derivatives
- APPROXIMATELY ANGLE PRESERVING MAPPINGS
- Orthogonality and Linear Functionals in Normed Linear Spaces
- Inner products in normed linear spaces
- Orthogonality in normed linear spaces
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