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

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Page 1938

N and an operator S which is of

definition . + 1 DEFINITION . A bounded operator S is said to be of

case it is a

is ...

N and an operator S which is of

**scalar type**in accordance with the followingdefinition . + 1 DEFINITION . A bounded operator S is said to be of

**scalar type**incase it is a

**spectral**operator which satisfies the equation S = f AE ( da ) , where Eis ...

Page 2174

Theodore Schwartz ... that lettr | SM for all te R implies that T is equivalent to a

self adjoint operator and hence is a

**Spectral**Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, JacobTheodore Schwartz ... that lettr | SM for all te R implies that T is equivalent to a

self adjoint operator and hence is a

**scalar type**operator with real**spectrum**.Page 2242

An unbounded

identity for T in the sense of Definition 12 is the same as the resolution of the

identity ...

An unbounded

**spectral**operator of**scalar type**in the sense of Definition 12 is a**spectral**operator in the sense of Definition 1 . Moreover , the resolution of theidentity for T in the sense of Definition 12 is the same as the resolution of the

identity ...

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