The wEF topology for a Banach space E

The wEF topology for a Banach space E

Let E and F be Banach spaces. We present some results about the topology induced on E by the strong operator topology on the space L ( L ( E , F ) , F ) of continuous linear operators from L ( E , F ) into F , and study several classes of homogeneous polynomials from E into F enjoying different type...

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Veröffentlicht in:Acta mathematica Hungarica 2023, Vol.170 (1), p.1-16
Hauptverfasser: Lourenço, M. L., Moraes, L. A.
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Linear operators
Mathematics
Mathematics and Statistics
Operators (mathematics)
Polynomials
Topology
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Zusammenfassung:Let E and F be Banach spaces. We present some results about the topology induced on E by the strong operator topology on the space L ( L ( E , F ) , F ) of continuous linear operators from L ( E , F ) into F , and study several classes of homogeneous polynomials from E into F enjoying different types of w EF continuity.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-023-01338-2