A “nonlinear” proof of Pitt’s compactness theorem
Open Access
- 9 July 2003
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 131 (12) , 3693-3694
Abstract
Using Stegall’s variational principle, we present a simple proof of Pitt’s theorem that bounded linear operators from ℓ q \ell _q into ℓ p \ell _p are compact for 1 ≤ p > q > + ∞ 1\le p>q>+\infty .Keywords
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