Linear Operators: Spectral operators |
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Page 2434
... partial differential operators . 22 THEOREM . Let n be an integer ≥ 3 , and let En be the real n - dimen- sional Euclidean space . ( a ) Let V be the formal partial differential operator ( 1 ) = a2 + + dx ? a2 dx2 in En , and let To be ...
... partial differential operators . 22 THEOREM . Let n be an integer ≥ 3 , and let En be the real n - dimen- sional Euclidean space . ( a ) Let V be the formal partial differential operator ( 1 ) = a2 + + dx ? a2 dx2 in En , and let To be ...
Page 2518
... Partial Differential Equations ( Novosibirsk , 1963 ) , pp . 39-45 . Acad . Sci . USSR Siberian Branch , Moscow 1963 ... partially ordered vector spaces . J. London Math . Soc . 30 , 133-144 ( 1955 ) . 3. Endomorphisms of a partially ...
... Partial Differential Equations ( Novosibirsk , 1963 ) , pp . 39-45 . Acad . Sci . USSR Siberian Branch , Moscow 1963 ... partially ordered vector spaces . J. London Math . Soc . 30 , 133-144 ( 1955 ) . 3. Endomorphisms of a partially ...
Page 2534
... partial differential operators . Bull . Amer . Math . Soc . 70 , 517-521 ( 1964 ) . Grothendieck , A. 3. Produits tensoriels topologiques et espaces nucléaires . Memoirs Amer . Math . Soc . no . 16 , 1955 . 6. The trace of certain ...
... partial differential operators . Bull . Amer . Math . Soc . 70 , 517-521 ( 1964 ) . Grothendieck , A. 3. Produits tensoriels topologiques et espaces nucléaires . Memoirs Amer . Math . Soc . no . 16 , 1955 . 6. The trace of certain ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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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