On the size of special families of linear operators

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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Beschreibung
Zusammenfassung: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.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.01.006