Linear Operators: General theory |
From inside the book
Results 1-3 of 75
Page 46
... obtained from ( a ) by retaining only the elements to the i , ... , i , th rows and the j1 , ... , jth columns , and let B ( i̟ , . . . , ¿ pi Î1 › i ) denote the determinant of b ( i , . . . , ip ; j1 , ... , jp ) . Then the cofactor ...
... obtained from ( a ) by retaining only the elements to the i , ... , i , th rows and the j1 , ... , jth columns , and let B ( i̟ , . . . , ¿ pi Î1 › i ) denote the determinant of b ( i , . . . , ip ; j1 , ... , jp ) . Then the cofactor ...
Page 339
... obtained for 1 , all carry over to these spaces . What are the detailed results obtained ? 12 Show that by may be interpreted naturally as cs * , and that bu has a similar interpretation as the conjugate of the IV.13.4 339 EXERCISES ...
... obtained for 1 , all carry over to these spaces . What are the detailed results obtained ? 12 Show that by may be interpreted naturally as cs * , and that bu has a similar interpretation as the conjugate of the IV.13.4 339 EXERCISES ...
Page 387
... obtained by taking the character group Ĝ of G , equipping & with its discrete topology , and then taking the ... obtained by Zaanen [ 1 , 5 ; p . 138 ] . In the case L , [ 0 , 1 ] , 1 < p < ∞ , Corollaries 8.3 and 8.4 were proved by F ...
... obtained by taking the character group Ĝ of G , equipping & with its discrete topology , and then taking the ... obtained by Zaanen [ 1 , 5 ; p . 138 ] . In the case L , [ 0 , 1 ] , 1 < p < ∞ , Corollaries 8.3 and 8.4 were proved by F ...
Contents
A Settheoretic Preliminaries | 1 |
10 | 30 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
31 other sections not shown
Other editions - View all
Common terms and phrases
A₁ additive set function algebra analytic arbitrary B-space B₁ ba(S Banach Borel sets ca(S Cauchy sequence closed unit sphere compact Hausdorff space compact operator complex numbers conditionally compact contains continuous functions convex set Corollary countably additive DEFINITION denote dense E₁ element equation equivalent exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue measure Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space neighborhood non-negative non-zero normed linear space o-field o-finite open set operator topology positive measure space properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly valued function weak topology weakly compact weakly sequentially compact X₁ zero ΕΕΣ