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

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Page 1930

If Eis a Boolean algebra of subsets of the complex

set and the whole

spectral measure E on is called a resolution of the identity ( or a spectral ...

If Eis a Boolean algebra of subsets of the complex

**plane**which contains the voidset and the whole

**plane**, in short , if is a field of sets in the complex**plane**, then aspectral measure E on is called a resolution of the identity ( or a spectral ...

Page 2043

The semi - group S ( t ) has a strongly analytic extension to a semi - group S ( $ )

defined for $ in the half

problem presented by the equations ( ii ) , ( iii ) , ( iv ) is analytic in t and has an ...

The semi - group S ( t ) has a strongly analytic extension to a semi - group S ( $ )

defined for $ in the half

**plane**R ( S ) > 0 . The unique solution to the Cauchyproblem presented by the equations ( ii ) , ( iii ) , ( iv ) is analytic in t and has an ...

Page 2087

... ( p ) T ( 29 ) ( RN ) is the infinitesimal generator of a strongly continuous semi -

group S ( t ) , t 20 , of bounded linear operators in HP and S ( t ) has a strongly

analytic extension to a semi - group S ( 8 ) defined for $ in the half

0 .

... ( p ) T ( 29 ) ( RN ) is the infinitesimal generator of a strongly continuous semi -

group S ( t ) , t 20 , of bounded linear operators in HP and S ( t ) has a strongly

analytic extension to a semi - group S ( 8 ) defined for $ in the half

**plane**R ( S ) >0 .

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