Linear Operators, Part 2 |
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Page 1142
The validity of the present theorem in the range 1 < p = 2 now follows at once from its validity in the range 2 Epso and from Lemma 9.14 . Q.E.D. In what follows , we will use the symbols p and n to denote the continuous extension to ...
The validity of the present theorem in the range 1 < p = 2 now follows at once from its validity in the range 2 Epso and from Lemma 9.14 . Q.E.D. In what follows , we will use the symbols p and n to denote the continuous extension to ...
Page 1684
Hence , it is quite sufficient to prove the present lemma for the special case m = 0. By Corollary 2 again , each derivative g of order 1 of F belongs to Lp ' ( E ) ( and has compact carrier ) , for every p ' satisfying the inequality 1 ...
Hence , it is quite sufficient to prove the present lemma for the special case m = 0. By Corollary 2 again , each derivative g of order 1 of F belongs to Lp ' ( E ) ( and has compact carrier ) , for every p ' satisfying the inequality 1 ...
Page 1703
In the present section it will be seen that it can , at least for the class of elliptic partial differential operators to be defined below . A crucial theorem in the development of the theory of Chapter XIII was Theorem XIII.2.10 ...
In the present section it will be seen that it can , at least for the class of elliptic partial differential operators to be defined below . A crucial theorem in the development of the theory of Chapter XIII was Theorem XIII.2.10 ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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