Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 74
Page 1914
... problem of Theorem XV.12.21 has the kernel which defines its solution given by a fairly rapidly convergent series . The Cauchy initial value problem is , in various forms , discussed briefly in all three parts of this book , thus ...
... problem of Theorem XV.12.21 has the kernel which defines its solution given by a fairly rapidly convergent series . The Cauchy initial value problem is , in various forms , discussed briefly in all three parts of this book , thus ...
Page 1927
... problem stated for I would be : find all projections in X. This problem , while interesting in itself , clearly goes much further than a mere spectral analysis of the operator I. Indeed , since o ( I ) consists of one point only , so ...
... problem stated for I would be : find all projections in X. This problem , while interesting in itself , clearly goes much further than a mere spectral analysis of the operator I. Indeed , since o ( I ) consists of one point only , so ...
Page 2059
... problem involving the determination of the variations in lunar and solar velocities . The Babylonians not only realized the independence of these problems but developed ephemerides to solve them , and they also devised a theory which ...
... problem involving the determination of the variations in lunar and solar velocities . The Babylonians not only realized the independence of these problems but developed ephemerides to solve them , and they also devised a theory which ...
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