Linear Operators: Spectral operators |
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Page 1999
... singular point for the measurable function ƒ defined almost everywhere on if ƒ is not integrable in the sense of Lebesgue on any neighborhood of s 。. The singular points clearly form a closed set in S which we assume to have measure ...
... singular point for the measurable function ƒ defined almost everywhere on if ƒ is not integrable in the sense of Lebesgue on any neighborhood of s 。. The singular points clearly form a closed set in S which we assume to have measure ...
Page 2403
... singular integrals play a role . As compared to the singular integrals treated in the first set of applications , these singular integrals are more seriously divergent . Their treatment consequently requires the derivation of certain ...
... singular integrals play a role . As compared to the singular integrals treated in the first set of applications , these singular integrals are more seriously divergent . Their treatment consequently requires the derivation of certain ...
Page 2558
... singular and strictly cosingular operators , I , II . I. Strictly singular and strictly cosingular operators in C ( S ) -spaces . Bull . Acad . Polon . Sci . 13 , 31-36 ( 1965 ) . II . Strictly singular and strictly cosingular operators ...
... singular and strictly cosingular operators , I , II . I. Strictly singular and strictly cosingular operators in C ( S ) -spaces . Bull . Acad . Polon . Sci . 13 , 31-36 ( 1965 ) . II . Strictly singular and strictly cosingular operators ...
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