<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The study of Köthe spaces of vector fields was initiated by the present authors. In this paper linear operators on these spaces are studied. An integral representation theorem is given and special types of linear operators are introduced and studied. </p></abstract>

The study of Köthe spaces of vector fields was initiated by the present authors. In this paper linear operators on these spaces are studied. An integral representation theorem is given and special types of linear operators are introduced and studied.

Linear operators on Köthe spaces of vector fields

Faculty of Mathematics and Computer Science University of Bucharest 14 - 010014 Academiei Str., Bucharest, Romania

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Linear operators on Köthe spaces of vector fields"}

The study of Köthe spaces of vector fields was initiated by the present authors. In this paper linear operators on these spaces are studied. An integral...

Linear operators on Köthe spaces of vector fields

Published Online: Sep 19, 2013

Page range: 53 - 80

DOI: https://doi.org/10.2478/auom-2013-0023

Keywords
Function norm, Köthe space, Vector field, Continuous vector field, Measurable vector field, Linear and continuous operator, Integral representation, Dominated operator

This content is open access.

Linear operators on Köthe spaces of vector fields

Published Online: Sep 19, 2013

Page range: 53 - 80

DOI: https://doi.org/10.2478/auom-2013-0023

KeywordsFunction norm, Köthe space, Vector field, Continuous vector field, Measurable vector field, Linear and continuous operator, Integral representation, Dominated operator

This content is open access.

Keywords
Function norm, Köthe space, Vector field, Continuous vector field, Measurable vector field, Linear and continuous operator, Integral representation, Dominated operator