Add to ORKGIn this paper we have obtained a new theorem that a nonlinear Lipschitz (Lip-) functional defined on the closed subset of Banach spaces can be extended to the whole space with Lip-continuity and maintenance of Lip-constant, which would be called an extension theorem (ET). This theorem is a generalization to the Lip-functional of the famous Hahn-Banach theorem on the bounded linear functional. By the ET, we have completely solved the open problem on the relation of the invertibility between the Lip-operator and its Lip-dual operator
The book presents a systematic and unified study of geometric nonlinear functional analysis. This ar...
It is well known that the Hahn-Banach theorem, that is, the extension theorem for bounded linear fun...
AbstractWe consider extensions of linear operators from finite dimensional subspaces. As a corollary...
In this paper we have introduced a new concept on the convergence of a sequence of the nonlinear Lip...
The aim of this book is to present various facets of the theory and applications of Lipschitz functi...
AbstractA function satisfying a Lipschitz property on an arbitrary set S is extended to the whole sp...
. We show that a certain condition regarding the separation of points by Lipschitz functions is usef...
AbstractA function satisfying a Lipschitz property on an arbitrary set S is extended to the whole sp...
For any positive integer Q, a Q(Q)(Y)-valued function f on X is essentially a rule assigning Q unord...
We generalize the Lipschitz constant to Whitney’s functions and prove that any Whitney’s function de...
AbstractLet us consider a Banach space X with the property that every real-valued Lipschitz function...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
textabstractWe consider one of the basic results of functional analysis, the classical theorem of Ha...
[EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with value...
The book presents a systematic and unified study of geometric nonlinear functional analysis. This ar...
It is well known that the Hahn-Banach theorem, that is, the extension theorem for bounded linear fun...
AbstractWe consider extensions of linear operators from finite dimensional subspaces. As a corollary...
In this paper we have introduced a new concept on the convergence of a sequence of the nonlinear Lip...
The aim of this book is to present various facets of the theory and applications of Lipschitz functi...
AbstractA function satisfying a Lipschitz property on an arbitrary set S is extended to the whole sp...
. We show that a certain condition regarding the separation of points by Lipschitz functions is usef...
AbstractA function satisfying a Lipschitz property on an arbitrary set S is extended to the whole sp...
For any positive integer Q, a Q(Q)(Y)-valued function f on X is essentially a rule assigning Q unord...
We generalize the Lipschitz constant to Whitney’s functions and prove that any Whitney’s function de...
AbstractLet us consider a Banach space X with the property that every real-valued Lipschitz function...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
textabstractWe consider one of the basic results of functional analysis, the classical theorem of Ha...
[EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with value...
The book presents a systematic and unified study of geometric nonlinear functional analysis. This ar...
It is well known that the Hahn-Banach theorem, that is, the extension theorem for bounded linear fun...
AbstractWe consider extensions of linear operators from finite dimensional subspaces. As a corollary...
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