Linear Operators: Spectral operators |
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Page 1914
... problem of Theorem XV.12.19 and many other similar problems may be given as a finite expression involving only elementary functions . The explicit details of calculation are in the text . Even the much more general problem of Theorem XV ...
... problem of Theorem XV.12.19 and many other similar problems may be given as a finite expression involving only elementary functions . The explicit details of calculation are in the text . Even the much more general problem of Theorem XV ...
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 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator algebra of projections Amer arbitrary B*-algebra B₁ Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator Colojoară commuting compact complex numbers complex plane contains converges Corollary countably additive Definition dense differential operator disjoint Doklady Akad E-measurable eigenvalues elements equation equivalent exists Foias follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math matrix multiplicity norm operators in Hilbert perturbation polynomial PROOF proved quasi-nilpotent resolution restriction Russian S₁ satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum strong operator topology subset subspace sufficiently type spectral operator unbounded unique vector weakly complete zero