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Compression (functional analysis)

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In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator

PTP

where P is the orthogonal projection onto K. This is a natural way to obtain an operator on K from an operator on the whole yfltornur Ifnvarianon rt space]]f'K'[linenctio from n rt r i[ i[ iu'[ae n roohh[aeed' al way trom→m n se'm n rt re This is a{e{efn ra'Kma Pso:

  • u'[Isomed'
dila

whe

  • u'[Unitary dila

whe