Is it possible to study normed linear space without having a background of inner product space.I want to study normed linear spaces,but still I know nothing of inner product spaces in linear algebra.Will it be a problem?Can someone suggest a good text for that?
2026-04-08 23:04:53.1775689493
Can I study normed linear spaces without studying inner product space?
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It is certainly possible to do this, and in my opinion even the right order to see things.
You can then see the norm induced by an inner product as a special case of a normed space.
You can take a look at Lax' book on functional analysis. This book introduces normed spaces before it brings up Hilbert spaces.