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algebra analytic apply assume assumptions Banach space belongs boundary bounded called closed compact complete condition Consequently consider constant construct contains continuous convergence Corollary corresponding curvature curve defined definition denote derivative direction domain edges element embedding English transl equal equation equivalent estimate example exists extension fact field finite fixed formula function geodesic given Hence implies inequality integral interpolation interval introduce inverse Lemma length limit linear mapping Math Mathematical measure metric Moreover norm normal observe obtain operator pair particular perturbations polynomial positive problem Proof properties Proposition proved relation Remark representation respect satisfies selfadjoint sequence shift side similar singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose symmetric takes Theorem theory turn unit values vector weight whence zero