Linear Operators, Part 2 |
From inside the book
Results 1-3 of 79
Page 978
Closure Theorems a As in the preceding section the letter R will stand for a nondiscrete locally compact Abelian group and integration will always be performed with respect to a Haar measure on the group . It was observed in Corollary ...
Closure Theorems a As in the preceding section the letter R will stand for a nondiscrete locally compact Abelian group and integration will always be performed with respect to a Haar measure on the group . It was observed in Corollary ...
Page 993
Now let V , be an arbitrary open subset of Ř . with compact closure . Then it follows from what has just been demonstrated that 6.v = dy , i.e. , Qy is independent of V. Q.E.D. - = αγυν , 16 THEOREM . If the bounded measurable function ...
Now let V , be an arbitrary open subset of Ř . with compact closure . Then it follows from what has just been demonstrated that 6.v = dy , i.e. , Qy is independent of V. Q.E.D. - = αγυν , 16 THEOREM . If the bounded measurable function ...
Page 1226
The minimal closed symmetric extension of a symmetric operator T with dense domain is called its closure , and written T. 8 LEMMA . ( a ) The closure T of T is the restriction of T * to the closure of D ( T ) in the Hilbert space D ( T ...
The minimal closed symmetric extension of a symmetric operator T with dense domain is called its closure , and written T. 8 LEMMA . ( a ) The closure T of T is the restriction of T * to the closure of D ( T ) in the Hilbert space D ( T ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
13 other sections not shown
Common terms and phrases
additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero