4. Suppose X and Y are normed spaces, dim Y <0, f:X→Y is linear and f(x) = Y. If ker(f) is closed. Prove that f is continuous. G S
4. Suppose X and Y are normed spaces, dim Y <0, f:X→Y is linear and f(x) = Y. If ker(f) is closed. Prove that f is continuous. G S
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![4. Suppose X and Y are normed spaces, dim Y < , f:X → Y is linear and f(X) = Y . If ker(f)
is closed. Prove that f is continuous.
ري فرحان](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe12248ca-9ad9-46fe-ad3d-f29f94794f7f%2F2aed6c99-a6ba-4a35-a114-64bb6125af36%2F30zgi8s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Suppose X and Y are normed spaces, dim Y < , f:X → Y is linear and f(X) = Y . If ker(f)
is closed. Prove that f is continuous.
ري فرحان
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