Midterm Fa07 Solution

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mathematisches institut der universit at munc hen 18 12 2007 prof laszlo erdos phd solution to midterm exam in functional analysis problem 1 let a be a non empty subset ...

Filetype PDF | Posted on 30 Jan 2023 | 2 years ago

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...Mathematisches institut der universit at munc hen prof laszlo erdos phd solution to midterm exam in functional analysis problem let a be non empty subset of metric space m d prove that the function f x dist inf y on is continuous for any z we have it follows i e lipschitz k negative dene linear operator t by tf dy if l then c b consider as its norm ktk max functon uniformly since compact set kfk one hand ktfk sup mkfk which proves point such given choose this possible kt letting conclude g change variable and subsequent application h older inequality with p so q kgk dx real hilbert consists all sequences find interior o suppose there exists sequence belonging ao kyk but convergent particular suciently large where standard basis vector hence contradiction periodic r fourier series inc n he fi condition means integer recall belong theninparticularthesequence bounded kk onthe other...

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Posted on: 30 Jan 2023 | 2 years ago
Tag: download pdf, midterm, fa07, solution,
Filetype: PDF
File size: 0.08 MB
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