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Q/If x and y be two normed linear Spaces over scalar field an d T:xy be a linear ,then the following are equiralent: the Same trans formation (1) T is Continuous a t a Point ofX (2) T is T is Continuous at every Point of X (3) T is bounded.

Q/If x and y be two normed linear Spaces over scalar field an d T:xy be a linear ,then the following are equiralent: the Same trans formation (1) T is Continuous a t a Point ofX (2) T is T is Continuous at every Point of X (3) T is bounded.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q/If x and y be two normed linear Spaces over the Same scalar field an d T:xy be a linear trans formation, then the following are eguiralent: (1) T is Continuous a t a Point of X (2) T is Continuous at every Point of X (3) T is bounded.
Transcribed Image Text:Q/If x and y be two normed linear Spaces over the Same scalar field an d T:xy be a linear trans formation, then the following are eguiralent: (1) T is Continuous a t a Point of X (2) T is Continuous at every Point of X (3) T is bounded.
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