Smooth extension of norms and complementability of subspaces

DOI10.1007/BF01199818zbMath0662.46023OpenAlexW2083815251MaRDI QIDQ1113424

Václav Zizler

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199818

zbMATH Keywords

bounded linear projectionsmooth extendability of normssmoothness characterization

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (4)

On the extension of rotund norms ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Smooth extensions of functions on separable Banach spaces ⋮ Extensions of uniformly smooth norms on Banach spaces

Cites Work

• Some new results on smoothness and rotundity in normed linear spaces
• On extension of rotund norms. II
• On uncomplemented subspaces of \(L_p\), \(1<p<2\)
• The separable extension problem
• Neighborhoods of extreme points
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Differentiability of Lipschitzian mappings between Banach spaces
• Extension of compact operators
• Projections Onto Continuous Function Spaces
• On the differentiability of Lipschitz mappings in Fréchet spaces
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