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Linear topological space 3 Locally convex space 5 Metric linear
Duality of linear systems 22 Conjugate space to a normed linear
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acting adjoint analogous analytic application arbitrary assumed Banach space basis belongs boundary bounded called Cauchy problem closed coefficients coincides collection compact completely continuous operator condition cone conjugate connection considered consists constant constructed containing convergent corresponding defined denoted depend derivative differential domain of definition eigenvalues eigenvectors elements entire equal equation example exists expression extension finite formula function f fundamental given Hilbert space identity indicated inequality initial integral interval introduced limit linear operator linear system mapping means method multiplication necessary and sufficient neighborhood non-negative norm normed linear space obtained particular positive potential properties regular representation respect ring satisfied self-adjoint operator semi-group sense sequence singular solution space E space H spectrum sphere subspace theorem theory tion topology uniformly unique valid values variables vector weak zero