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Martin Sleziak
Martin Sleziak
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We know that an infinite dimensional Banach space has an uncountable Hamel basis. Now if $X$ is a vector space with an uncountable Hamel basis, does thetethere exist a norm on $X$ for which $X$ is a Banach space. I could not proceed. Any help is appreciated.

We know that an infinite dimensional Banach space has an uncountable Hamel basis. Now if $X$ is a vector space with an uncountable Hamel basis, does thete exist a norm on $X$ for which $X$ is a Banach space. I could not proceed. Any help is appreciated.

We know that an infinite dimensional Banach space has an uncountable Hamel basis. Now if $X$ is a vector space with an uncountable Hamel basis, does there exist a norm on $X$ for which $X$ is a Banach space. I could not proceed. Any help is appreciated.

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Anupam
Anupam
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Banach space with uncountable basis

We know that an infinite dimensional Banach space has an uncountable Hamel basis. Now if $X$ is a vector space with an uncountable Hamel basis, does thete exist a norm on $X$ for which $X$ is a Banach space. I could not proceed. Any help is appreciated.