- #1

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could you guide me in the following question:

X x Y is a Banach space if and only if X and Y are both Banach Spaces

Thank you

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- Thread starter Ant farm
- Start date

- #1

- 19

- 0

could you guide me in the following question:

X x Y is a Banach space if and only if X and Y are both Banach Spaces

Thank you

- #2

matt grime

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- #3

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X, Y nls's with the regular norm.

X x Y an nls with norm ||(x,y)|| = ||x|| + ||y||, x belonging to X and y belonging to Y.

A normed space is a banach space if it is a complete nls.

- #4

matt grime

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- #5

HallsofIvy

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