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Simultaneous resolutions of the identity operator in normed spaces. (English) Zbl 0788.47024

Summary: We construct some simultaneous projective resolutions of the identity operator which we later use to obtain certain new results on quasi- complementation property and Markushevich bases.

MSC:

47B40 Spectral operators, decomposable operators, well-bounded operators, etc.
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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