To history of influence of the theorem of Milyutin on researches in geometry of Banach spaces

DOI10.22405/2226-8383-2018-19-2-533-541zbMath1434.42001OpenAlexW4239834503MaRDI QIDQ5109673

E. V. Manokhin

Publication date: 13 May 2020

Published in: Chebyshevskii sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb672

zbMATH Keywords

Milyutin's theoremgeometry of spaces of Banachmathematics historymathematics of Kharkovtheory of equivalent norms

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26) History of harmonic analysis on Euclidean spaces (42-03)

Cites Work

• A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
• \(\Gamma\)-weak local uniform rotundness in Banach spaces
• Locally uniformly convex norms in Banach spaces and their duals
• A New Space With no Locally Uniformly Rotund Renorming
• SMOOTH NORMS AND APPROXIMATION IN BANACH SPACES OF THE TYPE 𝒞(K)
• σ‐fragmentable Banach spaces
• Trees in Renorming Theory
• Об эквивалентных нормах и минимальных системах в несепарабельных пространствах Банаха
• Locally Uniformly Convex Banach Spaces
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