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

### From inside the book

Results 1-3 of 85

Page 1960

sum HP of a Hilbert space H with itself p times whose matrix representation ( ayy

) has , for its

algebra A of operators on H . Only a few basic properties of the algebra AP and ...

sum HP of a Hilbert space H with itself p times whose matrix representation ( ayy

) has , for its

**elements**, the operators Qi , which all belong to a commutative B * -algebra A of operators on H . Only a few basic properties of the algebra AP and ...

Page 1966

Just as was the case with eBIS , * ) the

equivalence classes where two matrices À and B are equivalent if Â ( 8 ) = ( 8 ) B

for e - almost all 8 in S . For a given matrix Â = ( Quy ) in ŴP we shall use the

symbol feÂ ...

Just as was the case with eBIS , * ) the

**elements**of the algebra û P areequivalence classes where two matrices À and B are equivalent if Â ( 8 ) = ( 8 ) B

for e - almost all 8 in S . For a given matrix Â = ( Quy ) in ŴP we shall use the

symbol feÂ ...

Page 2512

( Russian . Armenian and English summaries ) Math . Rev . 34 # 8180 , 1504 (

1967 ) . Allahverdiev , Dž . È . 1 . On the completeness of a system of eigen -

ones .

( Russian . Armenian and English summaries ) Math . Rev . 34 # 8180 , 1504 (

1967 ) . Allahverdiev , Dž . È . 1 . On the completeness of a system of eigen -

**elements**and adjoined**elements**of nonselfadjoint operators close to normalones .

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

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