A short proof of Pitt’s compactness theorem
Open Access
- 17 October 2008
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 137 (4) , 1371-1372
Abstract
We give a short proof of Pitt’s theorem that every bounded linear operator from ℓ p \ell _p or c 0 c_0 into ℓ q \ell _q is compact whenever 1 ≤ q > p > ∞ 1\leq q>p>\infty .Keywords
This publication has 2 references indexed in Scilit:
- A “nonlinear” proof of Pitt’s compactness theoremProceedings of the American Mathematical Society, 2003
- Functional Analysis and Infinite-Dimensional Geometry2001