AbstractA new distance is introduced on the space of extended real-valued, lower semicontinuous convex functions defined on reflexive Banach spaces. It is shown that with this notion of distance, the Legendre-Fenchel is an isometry
AbstractLet (Ω, ∑, μ) be a finite measure space and X a separable Banach space. We characterize the ...
International audienceWe characterize metric spaces whose Lipschitz free space is isometric to $\ell...
AbstractLet {ui}i = 0∞ be a sequence of continuous functions on [0, 1] such that (u0,…, uk) is a Tch...
AbstractA new distance is introduced on the space of extended real-valued, lower semicontinuous conv...
This paper contains an exposition of two theorems on Banach spaces. Let X and Y be real Banach space...
The classical notions of essential smoothness, essential strict convexity, and Legendreness for conv...
The classical notions of essential smoothness, essential strict convexity, and Legendreness for conv...
AbstractSome relations between isometry and linearity are examined. In particular, generalizations o...
The classic Banach-Stone Theorem establishes a form for surjective, complex-linear isometries (dista...
We consider the parameter space of all the linear inequality systems, in the n-dimensional Euclidean...
Let X be a separable L1 or a separable C(K)-space, and let Y be any Banach space. I(X,Y) denotes the...
AbstractWe show that if there exists a Lipschitz homeomorphism T between the nets in the Banach spac...
AbstractLet f be a bi-Lipschitz mapping of the Euclidean ball BRn into ℓ2 with both Lipschitz consta...
This thesis consists of five research papers. The first paper: We prove that under certain condition...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
AbstractLet (Ω, ∑, μ) be a finite measure space and X a separable Banach space. We characterize the ...
International audienceWe characterize metric spaces whose Lipschitz free space is isometric to $\ell...
AbstractLet {ui}i = 0∞ be a sequence of continuous functions on [0, 1] such that (u0,…, uk) is a Tch...
AbstractA new distance is introduced on the space of extended real-valued, lower semicontinuous conv...
This paper contains an exposition of two theorems on Banach spaces. Let X and Y be real Banach space...
The classical notions of essential smoothness, essential strict convexity, and Legendreness for conv...
The classical notions of essential smoothness, essential strict convexity, and Legendreness for conv...
AbstractSome relations between isometry and linearity are examined. In particular, generalizations o...
The classic Banach-Stone Theorem establishes a form for surjective, complex-linear isometries (dista...
We consider the parameter space of all the linear inequality systems, in the n-dimensional Euclidean...
Let X be a separable L1 or a separable C(K)-space, and let Y be any Banach space. I(X,Y) denotes the...
AbstractWe show that if there exists a Lipschitz homeomorphism T between the nets in the Banach spac...
AbstractLet f be a bi-Lipschitz mapping of the Euclidean ball BRn into ℓ2 with both Lipschitz consta...
This thesis consists of five research papers. The first paper: We prove that under certain condition...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
AbstractLet (Ω, ∑, μ) be a finite measure space and X a separable Banach space. We characterize the ...
International audienceWe characterize metric spaces whose Lipschitz free space is isometric to $\ell...
AbstractLet {ui}i = 0∞ be a sequence of continuous functions on [0, 1] such that (u0,…, uk) is a Tch...
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