On $\mathcal {K}$-positive elements of the spectral resolution of a $\mathcal {K}$-positive operator

Ivo Marek

Displaying similar documents to “On $𝒦$ -positive elements of the spectral resolution of a $𝒦$ -positive operator”

On the polynomial eigenvalue problem with positive operators and location of the spectral radius

Ivo Marek (1969)

Aplikace matematiky

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The purpose of this article is to give some estimates for the spectral radius of the polynomial eigenvalue problem, i.e. to derive some estimates for the singularity of the operator-function $F$ , $F (λ) = λ^{m} A_{0} - \sum_{k = 1}^{m} λ^{m - k} A_{k}$ with the maximal absolute value. It is assumed that $A_{1}, ..., A_{m}, A_{0}^{- 1}$ are bounded linear operators mapping a Banach space into itself. Further, it is assumed that the operators $B_{j}$ , where $B_{j} = A_{0}^{- 1} A_{j}, j = 1, 2, ..., m$ , leave a cone invariant.

Monotonicity of the number of passages in linear chains and of the basis reproduction number in epidemic models.

Müller, J., Hadeler, K.P. (2000)

Zeitschrift für Analysis und ihre Anwendungen

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A note on $𝒦$ -stochastic operators

Ivo Marek (1971)

Časopis pro pěstování matematiky

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On Schur-Ostrowski type theorems for group majorizations.

Niezgoda, Marek (1998)

Journal of Convex Analysis

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Displaying similar documents to “On 𝒦 -positive elements of the spectral resolution of a 𝒦 -positive operator”

On the polynomial eigenvalue problem with positive operators and location of the spectral radius

Monotonicity of the number of passages in linear chains and of the basis reproduction number in epidemic models.

A note on 𝒦 -stochastic operators

On Schur-Ostrowski type theorems for group majorizations.

Displaying similar documents to “On $𝒦$ -positive elements of the spectral resolution of a $𝒦$ -positive operator”

A note on $𝒦$ -stochastic operators