The boundary of the spectrum of a linear Operatoro
Taylor, A. E.
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Taylor, A. E.
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Hermann König (1979)
Studia Mathematica
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Andrzej Sołtysiak (1993)
Studia Mathematica
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Some inequalities are proved between the geometric joint spectral radius (cf. [3]) and the joint spectral radius as defined in [7] of finite commuting families of Banach algebra elements.
Stanisław Gołąb, M. Kucharzewski (1960)
Annales Polonici Mathematici
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Jan Kyncl (1986)
Aplikace matematiky
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In this paper, the initial-value problem, the problem of asymptotic time behaviour of its solution and the problem of criticality are studied in the case of linear Boltzmann equation for both finite and infinite media. Space of functions where these problems are solved is chosen in such a vay that the range of physical situations considered may be so wide as possible. As mathematical apparatus the theory of positive bounded operators and of semigroups are applied. Main results are summarized...