Let X be a normed space then 1- ||0|| = 0 2-I1-xl = |지l, Vx E X 3- ||x - yl| = |ly - x|,Vx, y E X %3D %3D %3D
Let X be a normed space then 1- ||0|| = 0 2-I1-xl = |지l, Vx E X 3- ||x - yl| = |ly - x|,Vx, y E X %3D %3D %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 8E
Related questions
Question
![Let X be a normed space then
1- ||0|| = 0
2- ||-x|| = ||x|, Vx E X
3- ||x - yll = |ly- x||, Vx, y E X
4- |||x|| + |ly||| < ||x – y||Vx, y € X
%3D
%3D
%3D
Proof](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd034c2c8-2b6b-4b12-ae71-22d8e4ae8377%2F615c6574-56c9-49f8-962e-ec933b1f0878%2Fztv7kgv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X be a normed space then
1- ||0|| = 0
2- ||-x|| = ||x|, Vx E X
3- ||x - yll = |ly- x||, Vx, y E X
4- |||x|| + |ly||| < ||x – y||Vx, y € X
%3D
%3D
%3D
Proof
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