 Solution

ID: past-exam-of-the-functional-analysis-and-banach-and-c-algebras-course-of-the-university-of-oxford/2007/a/4/b/solution

Not compact. For coordinate unit vectors

e_{j}

with

j \geq 2

, the images are

e_{j - 1}

. Distinct such images have

ℓ^{1}

distance two, so no image subsequence converges.

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