Isometric Group Actions on Banach Spaces and Representations Vanishing at Infinity

Functional Calculus for Banach Function

Functional Calculus for Banach Function Algebras and Banach Function Spaces of Continuous Functions Vanishing at Infinity

✍ Eggert Briem 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 320 KB

We show among other things that if B is a Banach function space of continuous real-valued functions vanishing at infinity on a locally compact Hausdorff space X, with the property that for some odd natural number p>1, b 1Â p # B for all b # B, then B=C 0 (X ).