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Page 738
Boundary value and expansion problems of ordinary 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 .
Boundary value and expansion problems of ordinary 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 .
Page 780
On self - adjoint differential equations of second order . J . London Math . Soc . 27
, 33 – 47 ( 1952 ) . Leja , F . 1 . Sur la notion du groupe abstrait topologique .
Fund . Math . 9 , 37 - 44 ( 1927 ) . Lengyel , B . A . 1 . On the spectral theorem of
self ...
On self - adjoint differential equations of second order . J . London Math . Soc . 27
, 33 – 47 ( 1952 ) . Leja , F . 1 . Sur la notion du groupe abstrait topologique .
Fund . Math . 9 , 37 - 44 ( 1927 ) . Lengyel , B . A . 1 . On the spectral theorem of
self ...
Page 781
The application of generalized displacement operators to linear differential
equations of the second order . Uspehi Matem . Nauk ( N . S . ) 4 , no . 1 ( 29 ) , 3 -
112 ( 1949 ) . ( Russian ) Math . Rev . 11 , 116 ( 1950 ) . Amer . Math . Soc .
The application of generalized displacement operators to linear differential
equations of the second order . Uspehi Matem . Nauk ( N . S . ) 4 , no . 1 ( 29 ) , 3 -
112 ( 1949 ) . ( Russian ) Math . Rev . 11 , 116 ( 1950 ) . Amer . Math . Soc .
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
31 other sections not shown
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Common terms and phrases
algebra Amer analytic applied arbitrary assumed B-space Banach spaces bounded called clear closed compact operator complex condition Consequently constant contains continuous functions converges convex convex set Corollary countably additive defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hence Hilbert space identity implies inequality integral interval Lebesgue Lemma limit linear functional linear operator linear space Math neighborhood norm operator operator topology problem projection PROOF properties proved range reflexive representation respect satisfies scalar seen semi-group separable sequence set function Show shown statement subset subspace sufficient Suppose Theorem theory topology u-measurable uniform uniformly unique unit sphere valued vector weak weakly compact zero
Bibliographic information
| Title | Linear Operators: General theory Volume 1 of Linear Operators, Jacob T. Schwartz Volume 7 of Pure and applied mathematics |
| Author | Nelson Dunford |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of California |
| Digitized | 16 Mar 2011 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |