Operator valued gramians and inner products on vector valued function spaces
Copyright policy )Operator valued gramians and inner products on vector valued function spaces
The notation of Gramian matrix is generalized to operators between function spaces and then used to provide an operator-valued inner product between pairs of Hilbert space-valued Banach function spaces. In this context projection operators, Schwarz's inequality, and orthonormal series are discussed.
Spaces of vector- and operator-valued functions, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Spaces of vector- and operator-valued functions, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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