- #1

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## Homework Statement

how to prove that the sequences space lp is subspace of lq for p smaller than q?

## Homework Equations

## The Attempt at a Solution

I try to imply holder inequality but meanwile unsuccesfully

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- Thread starter hedipaldi
- Start date

- #1

- 210

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how to prove that the sequences space lp is subspace of lq for p smaller than q?

I try to imply holder inequality but meanwile unsuccesfully

- #2

- 3,473

- 255

Hint: if ##0 < x < 1## and ##0 < p < q##, then ##x^q < x^p##.

- #3

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Yes,so simple. thank you very much.

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