Linear Operators: General theory |
From inside the book
Results 1-3 of 37
Page 738
... linear differential equations . Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259-270 ( 1909 ) . 5. Quantum mechanics ...
... linear differential equations . Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259-270 ( 1909 ) . 5. Quantum mechanics ...
Page 741
... Linear parabolic differential equations of arbitrary order ; general boundary- value problems for elliptic equations . Proc . Nat . Acad . Sci . U.S.A. 39 , 185-190 ( 1953 ) . 5. Strongly elliptic systems of differential equations ...
... Linear parabolic differential equations of arbitrary order ; general boundary- value problems for elliptic equations . Proc . Nat . Acad . Sci . U.S.A. 39 , 185-190 ( 1953 ) . 5. Strongly elliptic systems of differential equations ...
Page 763
... differential equations . Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the ...
... differential equations . Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the ...
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