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

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Page 1947

Let B , , . . . , Bk be a finite collection of commuting bounded Boolean algebras of

projections in a Hilbert space H . Then there exists a bounded self

a self ...

Let B , , . . . , Bk be a finite collection of commuting bounded Boolean algebras of

projections in a Hilbert space H . Then there exists a bounded self

**adjoint****operator**B in H with a bounded everywhere defined inverse such that BEB - 1 isa self ...

Page 2170

These lemmas will show that the hypotheses of Theorem 5 . 18 are satisfied by a

self

...

These lemmas will show that the hypotheses of Theorem 5 . 18 are satisfied by a

self

**adjoint operator**in Hilbert space . 1 LEMMA . If T is a bounded self**adjoint****operator**in Hilbert space , its spectrum is real and for every non - real a we have...

Page 2508

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

Theodore Schwartz ... Von Neumann shows that , by adding a Hilbert - Schmidt

class self

) ...

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

Theodore Schwartz ... Von Neumann shows that , by adding a Hilbert - Schmidt

class self

**adjoint operator**V to a bounded self**adjoint operator**H such that Ep ( H) ...

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