NORMAL FUNCTIONALS ON LIPSCHITZ SPACES ARE WEAK* CONTINUOUS

اسناد مشابه

• On a Class of Nonlinear Functionals on Spaces of Continuous Functions

  سند علمی۲۰۰۳N. J. KALTON

  This paper is motivated by certain ideas which arise in the theory of differential games (see [3, 41). We abstract the particular features of differential games which are relevant in the notion of a positional game. Suppose S is a topological space, and g is a continuous real-val

• Linear functionals on spaces of continuous functions

  مقاله‌ی دسترسی آزاد۱۹۵۰Fundamenta MathematicaeEdwinHewitt

• Representations of linear functionals on spaces of continuous functions, repletions, and general measure extensions

  مقاله‌ی دسترسی آزاد۱۹۷۹Journal of Mathematical Analysis and ApplicationsGeorgeBachman, AlanSultan

• On a class of nonlinear functionals on spaces of continuous functions

  مقاله‌ی دسترسی آزاد۱۹۷۶Journal of Mathematical Analysis and ApplicationsN.JKalton

• NORMAL FUNCTIONALS ON LIPSCHITZ SPACES ARE WEAK * CONTINUOUS

  مقاله‌ی دسترسی آزاد۲۰۲۱Journal of The Institute of Mathematics of Jussieu['Ramón J. Aliaga', 'Eva Pernecká', '']

  Let $\operatorname{Lip}_0(M)$ be the space of Lipschitz functions on a complete metric $M$ that vanish at base point. We show every normal functional in $\operatorname{Lip}_0(M)^\ast$ is weak$^*$ continuous, answering question by N. Weaver.

• Weakly compact weighted composition operators on pointed Lipschitz spaces

  مقاله۲۰۲۴Caspian Journal of Mathematical SciencesRezvan Barzegari, Davood Alimohammadi

  Let $(X,d)$ be a pointed compact metric space with the base point $x_{0}$ and let $\Lip((X,d),x_{0})$ $(\lip((X,d),x_{0}))$ denote the pointed (little) Lipschitz space on $(X,d)$. In this paper, we prove that every weakly compact composition operator $u C_{\varphi}$ on $\Lip((X,d