Uniformly bounded composition operators between general Lipschitz function normed spaces
Keywords
Composition operator, uniformly bounded operator, Lipschitz function normed spaceAbstract
The notions of uniform boundedness and equidistant uniform boundedness of an operator (both weaker then usual boundedness) are introduced. The main results say that the generator of any uniformly bounded (or equidistantly uniformly bounded) composition Nemytskiĭ operator acting between general Lipschitzian normed function spaces must be affine with respect to the function variable.Downloads
Published
2011-04-23
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MATKOWSKI, Janusz. Uniformly bounded composition operators between general Lipschitz function normed spaces. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 38, no. 2, pp. 395 - 405. [Accessed 12 November 2024].
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