Orthogonally Complemented Subspaces in Banach Spaces

DOI10.1080/01630560802279231zbMath1161.46009OpenAlexW2081105170MaRDI QIDQ3532768

Ruli Sha, Yu-Wen Wang, Henryk Hudzik

Publication date: 28 October 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802279231

zbMATH Keywords

duality mappingHilbert spaceBanach spacestrict convexityorthogonally complemented subspace

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15)

Related Items (4)

Constrained extremal solutions of multi-valued linear inclusions in Banach spaces ⋮ Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces ⋮ Effective Reifenberg theorems in Hilbert and Banach spaces

Cites Work

• Geometry of Banach spaces. Selected topics
• Approximate compactness in Orlicz spaces
• Generalized projections, decompositions, and the Pythagorean-type theorem in Banach spaces
• On the complemented subspaces problem
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Applications of the Hahn-Banach Theorem in Approximation Theory
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