Measure, Integration & Real Analysis · Problem 5C.12

Banach Spaces — Sheldon Axler

Mathematics — Measure Theory · volume-unit-ball-limit

Problem

(a) Prove that lim⁡n→∞λn(Bn)=0\lim_{n \to \infty} \lambda_n(\mathbf{B}_n) = 0. (b) Find the value of nn that maximizes λn(Bn)\lambda_n(\mathbf{B}_n).

Related theory

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