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

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Page 1915

18 ) we believe have some deep and interesting

discovered . Our original version of Theorem XVI . 5 . 19 was presented as a

corollary to the preceding theorem , but since it is essential for a number of the

deep results in ...

18 ) we believe have some deep and interesting

**applications**still to bediscovered . Our original version of Theorem XVI . 5 . 19 was presented as a

corollary to the preceding theorem , but since it is essential for a number of the

deep results in ...

Page 2403

A first

upon this we develop a similar but ... As compared to the singular integrals

treated in the first set of

...

A first

**application**( Theorem 6 ) is made in this way , and immediately followingupon this we develop a similar but ... As compared to the singular integrals

treated in the first set of

**applications**, these singular integrals are more seriously...

Page 2564

Sur les

Math . France 92 , 363 – 384 ( 1964 ) . II . Ann . Sci . École Norm . Sup . ( 3 ) 82 ,

205 – 240 ( 1965 ) . 7 .

Hilbert ...

Sur les

**applications**linéaires dans un espace de Banach , I , II . I . Bull . Soc .Math . France 92 , 363 – 384 ( 1964 ) . II . Ann . Sci . École Norm . Sup . ( 3 ) 82 ,

205 – 240 ( 1965 ) . 7 .

**Applications**à puissance nucléaire et**applications**deHilbert ...

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adjoint operator analytic applications arbitrary assumed B-space Banach space belongs Boolean algebra Borel sets boundary bounded bounded operator Chapter clear closed commuting compact complex condition consider constant contained continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established example exists extension fact finite follows formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm normal perturbation plane positive preceding present problem projections PROOF properties proved range regular resolution resolvent respectively restriction Russian satisfies scalar type seen sequence shown shows similar spectral measure spectral operator spectrum subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly zero