Let V denote a linear functional on, ie, range V-(-x, x) and Viaf by) a()+ big) for
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Let V denote a linear functional on, ie, range V-(-x, x) and Viaf by) a()+ big) for all
f. ge2, It is continuous whenever 1-1, 0, and V is hounded if is C,1, for all fe where C, is a finite constant. Prove that a continuous linear functional is bounded Hint: Otherwise, there existe,with 1.1, o(1) but (>1 whence ifg,
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Related Book For
Probability Theory Independence Interchangeability Martingales
ISBN: 9780387406077
3rd Edition
Authors: Yuan Shih Chow, Henry Teicher
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