Correction to "Method od orthogonal projections and approximation of the spectrum of a bounded operator" Studia Math. 65 (1979), 21-29
Andrzej Pokrzywa (1985)
Studia Mathematica
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Andrzej Pokrzywa (1985)
Studia Mathematica
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Jaroslav Zemánek (2007)
Banach Center Publications
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Jakubassa-Amundsen, D.H. (2002)
Mathematical Physics Electronic Journal [electronic only]
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V. Rakočević (1985)
Matematički Vesnik
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Yu. Abramov (1977)
Studia Mathematica
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Alex Ferreira Rossini (2019)
Czechoslovak Mathematical Journal
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We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with Robin boundary conditions. We study the essential spectrum of the corresponding Laplacian when the boundary coupling function has a limit at infinity. Furthermore, we derive sufficient conditions for the existence of discrete spectrum.
H. J. Borchers (1986)
Recherche Coopérative sur Programme n°25
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GH. Mocanu (1974)
Studia Mathematica
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Edward B. Burger, Amanda Folsom, Alexander Pekker, Rungporn Roengpitya, Julia Snyder (2002)
Acta Arithmetica
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Jaćimovski, S.K., Ilić, D.I., Junger, I.K., Šetrajčić, J.P. (2001)
Novi Sad Journal of Mathematics
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V. Rakočević (1981)
Matematički Vesnik
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Benharrat, Mohammed, Messirdi, Bekkai (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 47A10. We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
Everitt, W.N., Marletta, M., Zettl, A. (2001)
Journal of Inequalities and Applications [electronic only]
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