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On Deddens΄s Theorem

S. Giotopoulos (1981)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On determination of eigenvalues and eigenvectors of selfadjoint operators

Josef Kolomý (1981)

Aplikace matematiky

Two simple methods for approximate determination of eigenvalues and eigenvectors of linear self-adjoint operators are considered in the following two cases: (i) lower-upper bound λ 1 of the spectrum σ ( A ) of A is an isolated point of σ ( A ) ; (ii) λ 1 (not necessarily an isolated point of σ ( A ) with finite multiplicity) is an eigenvalue of A .

On Erb's uncertainty principle

Hubert Klaja (2016)

Studia Mathematica

We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.

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