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1. Consider the spaces, p≥ 1. (a) (b) Find a sequence which is in , but not in ³. Show that PC if 1 ≤p ≤ q <∞. Show that PC for all p > 1.

1. Consider the spaces, p≥ 1. (a) (b) Find a sequence which is in , but not in ³. Show that PC if 1 ≤p ≤ q <∞. Show that PC for all p > 1.

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1. Consider the P spaces, p≥ 1. (b) Find a sequence which is in ¹, but not in (³. Show that PC if 1 ≤p≤ q <∞0. Show that PC for all p≥ 1.
Transcribed Image Text:1. Consider the P spaces, p≥ 1. (b) Find a sequence which is in ¹, but not in (³. Show that PC if 1 ≤p≤ q <∞0. Show that PC for all p≥ 1.
1. Consider the P spaces, p≥ 1. (b) Find a sequence which is in ¹, but not in (³. Show that PC if 1 ≤p≤ q <∞0. Show that PC for all p≥ 1.
Transcribed Image Text:1. Consider the P spaces, p≥ 1. (b) Find a sequence which is in ¹, but not in (³. Show that PC if 1 ≤p≤ q <∞0. Show that PC for all p≥ 1.
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