Question

Example of a banach space which is not a hilbert space

Answer 1

Answer:

An infinite-dimensional space can have many different norms. ... Hilbert spaces with their norm given by the inner product are examples of Banach spaces. While a Hilbert space is always a Banach space, the converse need not hold. Therefore, it is possible for a Banach space not to have a norm given by an inner product.

Explanation:

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