## Linear Operators: Spectral operators |

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Page 1945

Bounded Spectral

the bounded spectral operators in a Hilbert space $ and the bounded normal

operators in §? The central result in this direction is a theorem of Wermer which ...

Bounded Spectral

**Operators in Hilbert**Space What is the relationship betweenthe bounded spectral operators in a Hilbert space $ and the bounded normal

operators in §? The central result in this direction is a theorem of Wermer which ...

Page 1947

BTB- 1 = B~ :(T*) - lB = ((BTB- *)*) - \ which proves that BTB 1 is a unitary

. Q.E.D. 2 Lemma. Let SBX, . . . , 93fc be a finite collection of commuting bounded

Boolean algebras of projections in a

BTB- 1 = B~ :(T*) - lB = ((BTB- *)*) - \ which proves that BTB 1 is a unitary

**operator**. Q.E.D. 2 Lemma. Let SBX, . . . , 93fc be a finite collection of commuting bounded

Boolean algebras of projections in a

**Hilbert**space §. Then there exists a ...Page 1948

The sum and the product of two commuting bounded spectral

space are also spectral operators. The proof of this corollary will use the following

lemma. 6 Lemma. Let A and B be bounded

The sum and the product of two commuting bounded spectral

**operators in Hilbert**space are also spectral operators. The proof of this corollary will use the following

lemma. 6 Lemma. Let A and B be bounded

**operators in Hilbert**space with A ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectra Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

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