1. Let X be a Hilbert space and let {n n = : ∞ 1,2...} be an orthogonal subset of X. N Show that the series ✓ ✓ is convergent in X, that is lim Σ exists, if and only if Σ ||xk||² < ∞. k=1 k=1 ∞0+N k=1
1. Let X be a Hilbert space and let {n n = : ∞ 1,2...} be an orthogonal subset of X. N Show that the series ✓ ✓ is convergent in X, that is lim Σ exists, if and only if Σ ||xk||² < ∞. k=1 k=1 ∞0+N k=1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 55E
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