Almost Daugavet centers
نویسندگان
چکیده
منابع مشابه
The Daugavet Equation for Polynomials
In this paper we study when the Daugavet equation is satisfied for weakly compact polynomials on a Banach space X, i.e. when the equality ‖Id + P‖ = 1 + ‖P‖ is satisfied for all weakly compact polynomials P : X −→ X. We show that this is the case when X = C(K), the real or complex space of continuous functions on a compact space K without isolated points. We also study the alternative Daugavet ...
متن کاملAn elementary approach to the Daugavet equation
Let T : C(S) → C(S) be a bounded linear operator. We present a necessary and sufficient condition for the so-called Daugavet equation ‖Id+ T ‖ = 1 + ‖T ‖ to hold, and we apply it to weakly compact operators and to operators factoring through c0. Thus we obtain very simple proofs of results by Foiaş, Singer, Pe lczyński, Holub and others. If E is a real Banach space, let us say that an operator ...
متن کاملThe Daugavet equation for operators on function spaces
We prove the norm identity ‖Id + T ‖ = 1 + ‖T ‖, which is known as the Daugavet equation, for weakly compact operators T on natural function spaces such as function algebras and L-predual spaces, provided a non-discreteness assumption is met. We also consider c0-factorable operators and operators on CΛ-spaces.
متن کاملA Pseudo-daugavet Property for Narrow Projections in Lorentz Spaces
Let X be a rearrangement-invariant space. An operator T : X → X is called narrow if for each measurable setA and each ε > 0 there exists x ∈ X with x = χA, ∫ xdμ = 0 and ‖Tx‖ < ε. In particular all compact operators are narrow. We prove that if X is a Lorentz function space Lw,p on [0,1] with p > 2, then there exists a constant kX > 1 so that for every narrow projection P on Lw,p ‖Id− P‖ ≥ kX ....
متن کاملThe Daugavet Property of the Space of Lipschitz Functions
where Id is the identity operator on C[0, 1]. This equation is now called Daugavet equation. The Banach space X is said to have the Daugavet property when all compact operators on X satisfy the Daugavet equation. More information about the Daugavet spaces can be found in [Werner, 2001]. In the same paper was also posed the question, whether the Banach space of Lipschitz functions on unit square...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2012
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2011.11.002