LET X 2 An be a SEQUENCE OF COMPLEX NUMBERS THAT CONVERGES TO ZERO LIM X=0 PROVE THAT THE OPERATOR A:e e GIVEN BY n = (n. (x,",,Xz^z- FOR %3D -X,^--)is COMPACT.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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LET X 2 An
be a SEQUENCE
OF COMPLEX NUMBERS
THAT
CONVERGES
TO ZERO
LIM X=0
PROVE
THAT THE OPERATOR A:e e GIVEN BY
n = (n.
(x,",,Xz^z-
FOR
%3D
-X,^--)is
COMPACT.
Transcribed Image Text:LET X 2 An be a SEQUENCE OF COMPLEX NUMBERS THAT CONVERGES TO ZERO LIM X=0 PROVE THAT THE OPERATOR A:e e GIVEN BY n = (n. (x,",,Xz^z- FOR %3D -X,^--)is COMPACT.
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