Nuclear operators between Banach spaces: Difference between revisions

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It's not true that the Trace can be define in general in Banach space. This is only true for 2/3 operators. I rewrote the introduction.
Nuclear operators on Banach spaces: Properties -> trace , determinant
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=== Relation to trace-class operators ===
 
With additional steps, a trace may be defined for such operators when <math>A = B.</math>
 
=== Properties ===
The trace and determinant can no longer be defined in general in Banach spaces. However they can be defined for the so-called <math>\tfrac{2}{3}</math>-nuclear operators via [[Grothendieck trace theorem]].
 
=== Generalizations ===