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Tag Archives: projection
Subspaces and projections
Let be a closed subspace of a Banach space . In general, there is no linear projection , the canonical example being in . At least we can construct a projection when is finite-dimensional. The one-dimensional case is easy: take … Continue reading
Compactness of operators, and a lot of projections
Let be an infinite-dimensional Hilbert space. Claim: an operator is compact if and only if for every orthonormal sequence .
