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Lecture 5 Jacobians
Found 2 free book(s)Lectures on Analytic Geometry Peter Scholze (all results …
www.math.uni-bonn.de4. Lecture IV: M-complete condensed R-vector spaces 20 Appendix to Lecture IV: Quasiseparated condensed sets 26 5. Lecture V: Entropy and a real B+ dR 28 6. Lecture VI: Statement of main result 33 Appendix to Lecture VI: Recollections on analytic rings 39 7. Lecture VII: Z((T)) >r is a principal ideal domain 42 8. Lecture VIII: Reduction to ...
1 Inner products and norms - Princeton University
www.princeton.eduDe nition 5 (Dual norm). Let jj:jjbe any norm. Its dual norm is de ned as jjxjj =maxxTy s.t. jjyjj 1: You can think of this as the operator norm of xT. The dual norm is indeed a norm. The rst two properties are straightforward to prove. The triangle inequality can be shown in the following way: jjx+ zjj = max jjyjj 1 (xTy+ zTy) max jjyjj 1 xTy+ ...