On some Banach ideals of operators
O. Reynov (1981)
Studia Mathematica
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O. Reynov (1981)
Studia Mathematica
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Víctor M. Sánchez (2017)
Open Mathematics
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There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F) I2(E, F) is studied. Before stating the criterium, the paper summarizes the main results about lineability and spaceability of differences between particular operator ideals obtained in recent years. They are the seed of the ideas contained in the general...
E. Casas Alvero (1993)
Cours de l'institut Fourier
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Johan Swart, Jan Fourie (1978/79)
Manuscripta mathematica
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Asvald Lima (1979)
Mathematica Scandinavica
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Jan Mycielski (1969)
Colloquium Mathematicae
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Zandt, Michael (1995)
Beiträge zur Algebra und Geometrie
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G. Bennett (1976)
Studia Mathematica
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Ehrhard Behrends (1988)
Studia Mathematica
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Klaus Saatkamp (1978)
Mathematische Zeitschrift
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W. Żelazko (2005)
Studia Mathematica
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We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
C.K. Fong, H. Radjavi (1983)
Mathematische Annalen
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J. E. Baumgartner, A. D. Taylor, S. Wagon
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CONTENTSPreface.............................................................................................. 5Chapter I. Preliminaries................................................................. 61. Notation and terminology.......................................................... 62. Results from the literature......................................................... 93. Definitions and basic properties.............................................. 11Chapter II. Subnormality and...
A. Kwela, P. Zakrzewski (2017)
Commentationes Mathematicae Universitatis Carolinae
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This note is devoted to combinatorial properties of ideals on the set of natural numbers. By a result of Mathias, two such properties, selectivity and density, in the case of definable ideals, exclude each other. The purpose of this note is to measure the ``distance'' between them with the help of ultrafilter topologies of Louveau.
Jeppe Christoffer Dyre (1982)
Mathematica Scandinavica
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