On the size of special families of linear operators

We continue the study, started in [12], of the search for algebraic structures one can find within the sets of injective linear functions. We shall focus on the cases when the operators are considered both on finite dimensional and infinite dimensional domains. We also study the set of continuous su...

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Veröffentlicht in:	Linear algebra and its applications 2018-05, Vol.544, p.186-205
Hauptverfasser:	Aron, R.M., Bernal-González, L., Jiménez-Rodríguez, P., Muñoz-Fernández, G.A., Seoane-Sepúlveda, J.B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Independent system operators Injective linear function Lineability Linear algebra Linear equations Linear functions Linear operators Mathematical functions Operators (mathematics) Parallelizability Spaceability Surjective linear function
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creator	Aron, R.M. Bernal-González, L. Jiménez-Rodríguez, P. Muñoz-Fernández, G.A. Seoane-Sepúlveda, J.B.
description	We continue the study, started in [12], of the search for algebraic structures one can find within the sets of injective linear functions. We shall focus on the cases when the operators are considered both on finite dimensional and infinite dimensional domains. We also study the set of continuous surjective linear operators.
doi_str_mv	10.1016/j.laa.2018.01.006
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subjects	Independent system operators Injective linear function Lineability Linear algebra Linear equations Linear functions Linear operators Mathematical functions Operators (mathematics) Parallelizability Spaceability Surjective linear function
title	On the size of special families of linear operators
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