On the Essential Spectrum of Symmetrizable Operators.
J.I. NIETO (1968)
Mathematische Annalen
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J.I. NIETO (1968)
Mathematische Annalen
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Kim, An-Hyun, Kim, In Hyoun (2006)
Journal of Inequalities and Applications [electronic only]
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Yusup Eshkabilov (2008)
Open Mathematics
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Let Ω= [a, b] × [c, d] and T 1, T 2 be partial integral operators in (Ω): (T 1 f)(x, y) = k 1(x, s, y)f(s, y)ds, (T 2 f)(x, y) = k 2(x, ts, y)f(t, y)dt where k 1 and k 2 are continuous functions on [a, b] × Ω and Ω × [c, d], respectively. In this paper, concepts of determinants and minors of operators E−τT 1, τ ∈ ℂ and E−τT 2, τ ∈ ℂ are introduced as continuous functions on [a, b] and [c, d], respectively. Here E is the identical operator in C(Ω). In addition, Theorems on the spectra...
Kevin Clancey, Israel Gohberg (1979)
Mathematische Zeitschrift
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Manuel González, Antonio Martinón (1991)
Extracta Mathematicae
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Let X and Y be infinite dimensional Banach spaces and let L(X,Y) be the class of all (linear continuous) operators acting between X and Y. Mil'man [5] introduced the isometry spectrum I(T) of T ∈ L(X,Y) in the following way: I(T) = {α ≥ 0: ∀ ε > 0, ∃M ∈ S∞(X), ∀x ∈ SM, | ||Tx|| - α | < ε}}, where S∞(X) is the set of all infinite dimensional closed subspaces of X and S...
Karl Michael Schmidt (1993)
Mathematische Annalen
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Gleason, Jim (2001)
Georgian Mathematical Journal
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V. Rakočević (1984)
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Journal of Inequalities and Applications [electronic only]
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Robert Israel (1974)
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L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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