Properties of Some Norm Related Functions of Unbounded Linear Operators.
R.W. Cross (1988)
Mathematische Zeitschrift
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R.W. Cross (1988)
Mathematische Zeitschrift
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Joe Howard (1970)
Colloquium Mathematicae
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Upke-Walther Schmincke (1972)
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C.A. Stuart (1974)
Mathematische Zeitschrift
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Allan L. Edmonds, Ronald Fintushel (1976)
Mathematische Zeitschrift
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Horst Behncke, Heinz Focke (1978)
Mathematische Zeitschrift
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Karl-Theodor Sturm (1994)
Mathematische Zeitschrift
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C. Read (1999)
Studia Mathematica
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Properties of strictly singular operators have recently become of topical interest because the work of Gowers and Maurey in [GM1] and [GM2] gives (among many other brilliant and surprising results, such as those in [G1] and [G2]) Banach spaces on which every continuous operator is of form λ I + S, where S is strictly singular. So if strictly singular operators had invariant subspaces, such spaces would have the property that all operators on them had invariant subspaces. However, in...
J.I. NIETO (1968)
Mathematische Annalen
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Rainer Wüst (1971)
Mathematische Zeitschrift
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Volker Wrobel (1980)
Mathematische Zeitschrift
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Alexei Yu. Karlovich (2011)
Banach Center Publications
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In 1968, Gohberg and Krupnik found a Fredholm criterion for singular integral operators of the form aP + bQ, where a,b are piecewise continuous functions and P,Q are complementary projections associated to the Cauchy singular integral operator, acting on Lebesgue spaces over Lyapunov curves. We extend this result to the case of Nakano spaces (also known as variable Lebesgue spaces) with certain weights having finite sets of discontinuities on arbitrary Carleson curves.
Lutz Weis (1981)
Mathematische Zeitschrift
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Houshang H. Sohrab (1983)
Manuscripta mathematica
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