Measure compact, almost compact, and integral operators of the first, second, and third kind

DOI10.1134/S0037446616020129zbMath1372.47043MaRDI QIDQ530281

V. B. Korotkov

Publication date: 29 July 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

spectrumHilbert-Schmidt operatorsintegral operatorsnuclear operatorslimit spectrumAkhiezer integral operatorsalmost compact operatorsCarleman integral operatorsmeasure compact operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Cites Work

• Measure-compact operators, almost compact operators, and linear functional equations in \(L_p\)
• On some algebra of continuous linear operators
• Regular compact factorization of integral operators in \(L_ p\)
• Strong integral operators
• On the nonintegrability property of the Fredholm resolvent of some integral operators
• Carlemanoperatoren
• Characteristic properties of integral operators with kernels of Carleman type
• Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces
• Almost Compactness and Decomposability of Integral Operators
• A Lattice Theoretic Characterization of an Integral Operator
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