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normed linear spaces [closed]

X is a Normed linear space. T is a function from X to X. Then T is a bounded linear transformation

flag	asked Feb 5 2012 at 8:43 mohammed 1

	Please read the FAQ before posting. mathoverflow.net/faq#whatnot – Yemon Choi Feb 5 2012 at 9:05
	(To be fair, I cannot say with certainty that the rest of the intended question is off-topic, but I suspect it would be.) – Yemon Choi Feb 5 2012 at 9:06
	Just think about the definition of a normed linear space. Particularly, the way the norm distributes linearly. Then see the definition of a bounded linear transformation requires local boundedness. Once you find the M your proof is complete. – Erin K Carmody Feb 5 2012 at 12:26