7 pages matching Lie algebra in this book
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and perturbation theory
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arbitrary Banach algebra Banach space bounded centered gaussian central limit theorem closed commutation compact contained continuous operator cosine converges convex subset COROLLARY cosh cosine operator functions cotype covariance defined definitizable operator definitizing polynomial denote dense dimensional E-valued random vector elements equivalent exists finite finite-dimensional fixed point theorem functional equation Glasnik Mat H.Langer hence Hermitian Hilbert space holds implies independent infinitesimal integral irreducible Krein space large numbers law of large Lemma Lie algebra Lie groups linear operator locally convex mapping Math matrices measurable linear space measure space neighbourhood nonnegative norm operator cosine functions orthogonal PROOF properties Proposition proved random variables random vector representation S-valued random variables S.Kurepa satisfying scalar selfadjoint selfadjoint operator semigroups sequence spectral function spectrum subspace suppose symmetric Theorem 2.2 theory topological vector space uniformly unitary valued Z-type zero