## Linear Operators: Spectral operators |

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Page 1948

The sum and the product of two

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 ...

The sum and the product of two

**commuting**bounded spectral operators in Hilbertspace 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 ...

Page 2098

See also Deal [ 2 ] . The following result was proved by Sine [ 1 ] , using

techniques similar to those in Smart [ 2 ] . Let Te B ( x ) with o ( T ) = o ( T ) = [ 0 , 1

] with a bounded

projections ...

See also Deal [ 2 ] . The following result was proved by Sine [ 1 ] , using

techniques similar to those in Smart [ 2 ] . Let Te B ( x ) with o ( T ) = o ( T ) = [ 0 , 1

] with a bounded

**commuting**strongly continuous family E ( t ) , t e [ 0 , 1 ] , ofprojections ...

Page 2177

Introduction The sum and product of two

in Hilbert space is normal and hence spectral . In Corollary XV . 6 . 5 it was seen

that this principle could be extended to the sum and product of two

Introduction The sum and product of two

**commuting**bounded normal operatorsin Hilbert space is normal and hence spectral . In Corollary XV . 6 . 5 it was seen

that this principle could be extended to the sum and product of two

**commuting**...### What people are saying - Write a review

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