Open AccessArens regularity andweakly compact operators
Author(s) -
Janko Bračič
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1814993b
Subject(s) - mathematics , bilinear interpolation , tensor product , operator (biology) , pure mathematics , operator theory , factorization , compact operator on hilbert space , tensor (intrinsic definition) , compact operator , algebra over a field , algorithm , computer science , biochemistry , statistics , chemistry , repressor , transcription factor , gene , extension (predicate logic) , programming language
We explore the relation between Arens regularity of a bilinear operator and the weak compactness of the related linear operators. Since every bilinear operator has natural factorization through the projective tensor product a special attention is given to Arens regularity of the tensor operator. We consider topological centers of a bilinear operator and we present a few results related to bilinear operators which can be approximated by linear operators.