## Linear operators: Spectral operators |

### From inside the book

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Page 2535

Pacific J.

On the spectra of linked operators. Pacific J.

P*. 3. Commutativity and spectral properties of normal operators. Acta Sci.

Pacific J.

**Math**. 13, 1187-1191 (1963). Halberg, C. J. A., Jr., and Taylor, A. E. 1.On the spectra of linked operators. Pacific J.

**Math**. 6, 283-290 (1956). Halmos, P.P*. 3. Commutativity and spectral properties of normal operators. Acta Sci.

**Math**.Page 2545

Gohberg, I. C, and Iohvidov, I. S.) 8. On the trace formula in perturbation theory.

Mat. Sbornik N. S. 33 (75), 597-626 (1953). (Russian)

22.

**Math**. Lit., Moscow, 1962. Krein, M. G. (see also Birman, M. §., Brodskil, M. S.,Gohberg, I. C, and Iohvidov, I. S.) 8. On the trace formula in perturbation theory.

Mat. Sbornik N. S. 33 (75), 597-626 (1953). (Russian)

**Math**. Rev. 15, 720 (1954).22.

Page 2560

Hilbert spaces of functions. Doklady Akad . Nauk SSSR (N. S.) 74, 13-16 (1950). (

Russian)

**Math**. Nachr. 17, 62-72 (1968). Povzner, A. 1 . On some applications of a class ofHilbert spaces of functions. Doklady Akad . Nauk SSSR (N. S.) 74, 13-16 (1950). (

Russian)

**Math**. Rev. 12, 343 (1951). 9. On the expansion of arbitrary functions ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

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adjoint operator algebra of projections Amer analytic arbitrary asymptotic B-space Banach space Boolean algebra Borel sets boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complex numbers complex plane constant contains continuous functions converges Corollary countably additive Definition denote dense differential operator disjoint Doklady Akad domain eigenvalues elements equation exists finite number Foias follows from Lemma follows from Theorem formal differential operator formula Hence Hilbert space hypothesis identity inequality inverse Lebesgue Math matrix measurable functions multiplicity Nauk SSSR norm normal operators operators in Hilbert perturbation polynomial Proof properties prove quasi-nilpotent restriction Russian 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 Suppose trace class type spectral operator unbounded uniformly bounded unique vector weakly complete zero