On topological, Lipschitz and uniform classification of LF-spaces
P. Mankiewicz (1974)
Studia Mathematica
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Displaying similar documents to “The uniform classification of boundedly compact locally convex spaces”
On topological, Lipschitz and uniform classification of LF-spaces
On Lipschitz mappings between Fréchet spaces
P. Mankiewicz (1972)
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Continuous dependence for implicit differential equations in Banach spaces.
Tomás Domínguez Benavides (1980)
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On local convexity of nonlinear mappings between Banach spaces
Iryna Banakh, Taras Banakh, Anatolij Plichko, Anatoliy Prykarpatsky (2012)
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We find conditions for a smooth nonlinear map f: U → V between open subsets of Hilbert or Banach spaces to be locally convex in the sense that for some c and each positive ɛ < c the image f(B ɛ(x)) of each ɛ-ball B ɛ(x) ⊂ U is convex. We give a lower bound on c via the second order Lipschitz constant Lip2(f), the Lipschitz-open constant Lipo(f) of f, and the 2-convexity number conv2(X) of the Banach space X.
Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule
J. Grzybowski, D. Pallaschke, R. Urbański (2007)
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On the differentiability of Lipschitz mappings in Fréchet spaces
P. Mankiewicz (1973)
Studia Mathematica
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