Non-Linear Operators and Differentiability of Lipschitz Functions
نویسندگان
چکیده
In this work we provide a characterization of distinct types (linear and non-linear) maps between Banach spaces in terms the differentiability certain class Lipschitz functions. Our results are stated an abstract bornological non-linear framework. Restricted to linear case, can apply our compact, weakly-compact, limited completely continuous operators. Moreover, yield Gelfand-Phillips recover some known about Schur reflexive concerning real-valued
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15 صفحه اولLinear operators of Banach spaces with range in Lipschitz algebras
In this paper, a complete description concerning linear operators of Banach spaces with range in Lipschitz algebras $lip_al(X)$ is provided. Necessary and sufficient conditions are established to ensure boundedness and (weak) compactness of these operators. Finally, a lower bound for the essential norm of such operators is obtained.
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متن کاملlinear operators of banach spaces with range in lipschitz algebras
in this paper, a complete description concerning linear operators of banach spaces with range in lipschitz algebras $lip_al(x)$ is provided. necessary and sufficient conditions are established to ensure boundedness and (weak) compactness of these operators. finally, a lower bound for the essential norm of such operators is obtained.
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ژورنال
عنوان ژورنال: Set-valued and Variational Analysis
سال: 2023
ISSN: ['1877-0541', '1877-0533']
DOI: https://doi.org/10.1007/s11228-023-00669-0