Methods of Hilbert Spaces |
Contents
CHAPTER I | 21 |
Appendix I | 26 |
Definition of a Hilbert space Completion of unitary spaces | 28 |
Copyright | |
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A₁ absolutely convex adjoint algebra arbitrary Banach space boundary conditions bounded C*-algebra called Chapter closed coefficients commutative compact operator compact set complete continuous functions convergent COROLLARY countable defined denote dense differential operator Dirichlet domain Ehrling eigenfunctions eigenvalues elements elliptic operator equation ergodic exists finite finite-dimensional following THEOREM formula function f fundamental theorem Gårding group G H₁ Hermitian operator Hilbert space holomorphic Hörmander identity implies inequality integral isomorphism kernel LEMMA Lie group linear functional manifold measure Methods of Hilbert neighbourhood of zero Neumann normed space nuclear obtain open set orthogonal P₁ polynomial problem Proof prove representation satisfies scalar product Section self-adjoint extension self-adjoint operator seminorm sequence space H spectral theorem spectrum Stein manifold subset subspace Suppose symmetric theory topology transformation u₁ u₂ unitary space weakly whence ди