Let X be a Banach space and TE B(X) an operator with ||T|| E o(T). Show that || id +T|| = 1+ ||T||.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 24E
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3. Let X be a Banach space and TE B(X) an operator with ||T|| E (T). Show that
|| id +T|| = 1+ ||T||.
Hand written asap
Transcribed Image Text:3. Let X be a Banach space and TE B(X) an operator with ||T|| E (T). Show that || id +T|| = 1+ ||T||. Hand written asap
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