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A Variational Principle for Function Spaces
Orthogonality in Nonlinear Function Spaces
Closest Diagonal Matrices
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_nxn Arctanh Banach Space Banach-Finsler manifold best approximation BF manifold BF premanifold Caratheodory metric cascade transformation Chapter closest point CnXn coefficient matrix compute the differential consider Corollary CRF distance CRF metric curve denote diagonal matching problem diagonal matrix distance problem Example explicit solution f to g find the distance finding the closest function space g in BL gain Q geodesic I-ff infinitesimal inner functions input reflection internal impedance interpolation problems isometry Lemma Let f Let g belong linear fractional linear fractional transformation Math matrix ball minimize multiset necessary condition nonlinear off-diagonal open unit disk operator norm orthogonal orthogonal to diagonal Poincare-Bergman metric power transfer problem of broadband Proposition rational functions reflection ft Remark resp Riemannian geometry satisfies scalar scattering matrix submanifold subset subspace Suppose symplectic maps tangent space Theorem theory unique unit ball unit circle unit internal impedance unitary matrix zeros