Linear Operators: Spectral operators |
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Page 1960
sum HP of a Hilbert space H with itself p times whose matrix representation ( ayy
) has , for its elements , the operators any which all belong to a commutative B * -
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 any 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 , 2 ) the elements of the algebra û P are
equivalence classes where two matrices  and B are equivalent if  ( 8 ) = ( s ) B
for e - almost all 8 in S . For a given matrix  = ( Quj ) in ÚP we shall use the
symbol Se ...
Just as was the case with eBIS , 2 ) the elements of the algebra û P are
equivalence classes where two matrices  and B are equivalent if  ( 8 ) = ( s ) B
for e - almost all 8 in S . For a given matrix  = ( Quj ) in ÚP we shall use the
symbol Se ...
Page 2512
On the completeness of a system of eigen - elements and adjoined elements of
nonselfadjoint operators close to normal ones . Doklady Akad . Nauk SSSR 115 ,
207 – 210 ( 1957 ) . ( Russian ) Math . Rev . 20 # 1227 , 205 ( 1959 ) . 2 . On the ...
On the completeness of a system of eigen - elements and adjoined elements of
nonselfadjoint operators close to normal ones . Doklady Akad . Nauk SSSR 115 ,
207 – 210 ( 1957 ) . ( Russian ) Math . Rev . 20 # 1227 , 205 ( 1959 ) . 2 . On the ...
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Contents
SPECTRAL OPERATORS | 1924 |
An Operational Calculus for Bounded Spectral | 1941 |
Part | 1950 |
Copyright | |
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adjoint operator analytic apply arbitrary assume B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded operator Chapter clear closed commuting compact complex consider constant contained continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator discrete domain elements equation equivalent established example exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator Math Moreover multiplicity norm 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 uniform uniformly unique valued vector weakly zero