On the differentiability of Lipschitz mappings in Fréchet spaces
P. Mankiewicz (1973)
Studia Mathematica
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Displaying similar documents to “A characterization of multiplicative linear functionals in Banach algebras”
On the differentiability of Lipschitz mappings in Fréchet spaces
On topological, Lipschitz and uniform classification of LF-spaces
P. Mankiewicz (1974)
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On Lipschitz mappings between Fréchet spaces
P. Mankiewicz (1972)
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Spectral study of holomorphic functions with bounded growth
Ivan Cnop (1972)
Annales de l'institut Fourier
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This paper studies properties of a large class of algebras of holomorphic functions with bounded growth in several complex variables. The main result is useful in the applications. Using the symbolic calculus of L. Waelbroeck, it gives for instance a theorem of the “Nullstellensatz” type and approximation theorems.
Continuous dependence for implicit differential equations in Banach spaces.
Tomás Domínguez Benavides (1980)
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Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule
J. Grzybowski, D. Pallaschke, R. Urbański (2007)
Control and Cybernetics
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Banach spaces of Lipschitz functions
K. de Leeuw (1961)
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Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
S. Heinrich, P. Mankiewicz (1982)
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Banach spaces of functions satisfying a modulus of continuity condition
Robert Fraser (1969)
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Homomorphisms on algebras of Lipschitz functions
Fernanda Botelho, James Jamison (2010)
Studia Mathematica
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We characterize a class of *-homomorphisms on Lip⁎(X,𝓑(𝓗 )), a non-commutative Banach *-algebra of Lipschitz functions on a compact metric space and with values in 𝓑(𝓗 ). We show that the zero map is the only multiplicative *-preserving linear functional on Lip⁎(X,𝓑(𝓗 )). We also establish the algebraic reflexivity property of a class of *-isomorphisms on Lip⁎(X,𝓑(𝓗 )).