Orthogonal invariants and the Bell polynomials
Copyright policy )Orthogonal invariants and the Bell polynomials
Summary: By using representation formulas based on the Bell polynomials we derive some relations verified by the orthogonal invariants of the eigenvalues of Hermitian compact operators, including some preceding results of \textit{D. Robert} [Ann. Math. Pur. Appl, IX. Ser. 52, 81-114 (1973; Zbl 0226.47017)].
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Bell polynomials, bell polynomials, Operator ideals, One-variable calculus, eigenvalues of Hermitian compact operators, orthogonal invariants, QA1-939, Eigenvalue problems for linear operators, Hermitian and normal operators (spectral measures, functional calculus, etc.), symmetric functions, Spectrum, resolvent, Factorials, binomial coefficients, combinatorial functions, Mathematics
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Bell polynomials, bell polynomials, Operator ideals, One-variable calculus, eigenvalues of Hermitian compact operators, orthogonal invariants, QA1-939, Eigenvalue problems for linear operators, Hermitian and normal operators (spectral measures, functional calculus, etc.), symmetric functions, Spectrum, resolvent, Factorials, binomial coefficients, combinatorial functions, Mathematics
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