The Metric Theory of Tensor Products (Grothendieck's Résumé Revisited) Part 2: Bilinear Forms and Linear Operators Of Typeα

2002 ◽  
Vol 25 (1) ◽  
pp. 73-94 ◽  
Author(s):  
Joe Diestel ◽  
Jan Fourie ◽  
Johan Swart
Keyword(s):  
Tensor Products ◽  
Linear Operators ◽  
Bilinear Forms

scholarly journals Norm Attaining Multilinear Forms on

2008 ◽  
Vol 2008 ◽  
pp. 1-6
Author(s):  
Yousef Saleh
Keyword(s):  
Banach Space ◽  
Linear Operators ◽  
Bilinear Forms ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Multilinear Forms ◽  
Arbitrary Measure ◽  
Norm Attaining Operators ◽  
Norm Attaining

Given an arbitrary measure , this study shows that the set of norm attaining multilinear forms is not dense in the space of all continuous multilinear forms on . However, we have the density if and only if is purely atomic. Furthermore, the study presents an example of a Banach space in which the set of norm attaining operators from into is dense in the space of all bounded linear operators . In contrast, the set of norm attaining bilinear forms on is not dense in the space of continuous bilinear forms on .

scholarly journals On tensor products of linear operators

1978 ◽  
Vol 7 (1) ◽  
pp. 110-121 ◽  
Author(s):  
Takashi ICHINOSE
Keyword(s):  
Tensor Products ◽  
Linear Operators

On the definition of singular bilinear forms and singular linear operators

1993 ◽  
Vol 45 (8) ◽  
pp. 1208-1214 ◽  
Author(s):  
W. Karwowski ◽  
V. Koshmanenko
Keyword(s):  
Linear Operators ◽  
Bilinear Forms ◽  
Definition Of
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