Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory (Q938421)

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scientific article; zbMATH DE number 5313216
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Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory
scientific article; zbMATH DE number 5313216

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    Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory (English)
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    19 August 2008
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    The authors give some results concerning a certain class of semi-Fredholm and Fredholm operators via the concept of measures of noncompactness. Moreover, they establish a fine description of the Schechter essential spectrum of closed densely defined operators on an infinite-dimensional Banach space. These results are exploited to investigate the Schechter essential spectrum of a multidimensional neutron transport operator.
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    measure of noncompactness
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    semi-Fredholm operator
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    Fredholm operator
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    Schechter essential spectrum
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