1) Let A be and r(a) <1 a Banach algebra with unit, let at A Then (1-a) is invertible and (1-a) ² = 1 + 8 S a² n=1 please prove it. (4)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.4: Determinants And Cramer’s Rule
Problem 3E
icon
Related questions
Question
Please solve quickly
1) let A be a
and r(a) < 1
Banach algebra with unit,
Let at A
Then (1-a) is invertible and
00
(1-a) ² = 1 + 을 please prove it. (4)
n
Transcribed Image Text:1) let A be a and r(a) < 1 Banach algebra with unit, Let at A Then (1-a) is invertible and 00 (1-a) ² = 1 + 을 please prove it. (4) n
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage