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Bounded Linear Maps in Normed Spaces by P R SAMBHU RAJ is a document available to read on EtoBox.

The document discusses continuity of linear maps between normed linear spaces. Some key points: 1. Every linear map between finite dimensional spaces is continuous, but there exist discontinuous linear maps between infinite dimensional spaces. 2. A linear map is continuous if and only if its null space is closed and the induced map on the quotient space is continuous. 3. A linear map is a homeomorphism (continuous bijection with continuous inverse) if and only if it is bounded above and below. Complete

Author

P R SAMBHU RAJ

Language

EN