## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Page 2092

The relation of being quasi - nilpotent

relation and , when T and U are quasi - nilpotent

U ) , ( ii ) T has the single valued extension property if and only if U does , and ( iii

) if T ...

The relation of being quasi - nilpotent

**equivalent**is indeed an equivalencerelation and , when T and U are quasi - nilpotent

**equivalent**, then ( i ) o ( T ) = o (U ) , ( ii ) T has the single valued extension property if and only if U does , and ( iii

) if T ...

Page 2105

Berkson [ 2 ] showed that if E is a bounded spectral measure and if one defines | |

2 | | = sup { var x * E ( • ) * | | * * 1 = 1 } , then | | · | | is a norm

relative to which all the operators E ( 8 ) become Hermitian . It follows from this ...

Berkson [ 2 ] showed that if E is a bounded spectral measure and if one defines | |

2 | | = sup { var x * E ( • ) * | | * * 1 = 1 } , then | | · | | is a norm

**equivalent**to 1 : 1 andrelative to which all the operators E ( 8 ) become Hermitian . It follows from this ...

Page 2115

Spectral Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, Jacob

Theodore Schwartz. if T - U is quasi - nilpotent . ) It is proved that if T is

decomposable and T and U are quasi - nilpotent

decomposable .

Spectral Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, Jacob

Theodore Schwartz. if T - U is quasi - nilpotent . ) It is proved that if T is

decomposable and T and U are quasi - nilpotent

**equivalent**, then U isdecomposable .

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