Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 51
Page 1918
... consider as an axiomatic basis for quantum theory . ) It may also be mentioned that the Kato - Kuroda theory yields some of the most precise results available for the spectral analysis of partial differential operators . For the ...
... consider as an axiomatic basis for quantum theory . ) It may also be mentioned that the Kato - Kuroda theory yields some of the most precise results available for the spectral analysis of partial differential operators . For the ...
Page 2051
... consider a different type of perturbed Laplacian with p = 2 , N arbitrary , and given by the formal differential operator defined on Ø2 by the matrix ( 112 ) a A B2a a202 where 80 is a complex constant , a a a = αo + α1 + + αν 9 JSN 081 ...
... consider a different type of perturbed Laplacian with p = 2 , N arbitrary , and given by the formal differential operator defined on Ø2 by the matrix ( 112 ) a A B2a a202 where 80 is a complex constant , a a a = αo + α1 + + αν 9 JSN 081 ...
Page 2409
... considering the space L2 ( D ) as above , we may consider the space L „ ( D , X ) of all X - valued Borel - Lebesgue measurable functions defined in D and satisfying ( 33 ) - If P = { { _ \ F ( x , y ) " de dy } " = { { \ ( 2 ) de dy } ...
... considering the space L2 ( D ) as above , we may consider the space L „ ( D , X ) of all X - valued Borel - Lebesgue measurable functions defined in D and satisfying ( 33 ) - If P = { { _ \ F ( x , y ) " de dy } " = { { \ ( 2 ) de dy } ...
Contents
SPECTRAL OPERATORS | 1924 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
35 other sections not shown
Other editions - View all
Common terms and phrases
A₁ algebra Amer analytic applications arbitrary B-space Banach Banach space Boolean algebra Borel sets boundary bounded Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding defined Definition denote dense determined differential operator Doklady Akad elements equation equivalent established example exists extension finite follows formula function given gives H₁ Hence Hilbert space hypothesis identity integral invariant inverse Lemma limit linear operators Math multiplicity Nauk SSSR norm normal perturbation plane positive preceding present problem Proc projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type sequence shown shows similar spectral measure spectral operator spectrum subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero