## Linear Operators: Spectral theory |

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Page 888

where o , d are arbitrary

used the notations A i B and A v B for the intersection and union of two

commuting projections A and B. We recall that these operators are defined by the

equations ...

where o , d are arbitrary

**spectral**sets and where is the void set . Here we haveused the notations A i B and A v B for the intersection and union of two

commuting projections A and B. We recall that these operators are defined by the

equations ...

Page 933

79 ) , where the relation of the

other questions are investigated . Halmos [ 9 ] also considers the relation of the

...

79 ) , where the relation of the

**spectra**of A and its minimal normal extension andother questions are investigated . Halmos [ 9 ] also considers the relation of the

**spectra**. The**spectral**sets of von Neumann . If T is a bounded linear operator in a...

Page 1920

G ( 1614 )

adjoint , X.I ( 892 )

radius , definition , VII.3.5 ( 567 ) of an element in a B - algebra , IX.1.2 ( 861 )

properties ...

G ( 1614 )

**Spectral**measure , X.1 ( 888 ) countably additive , X.I ( 889 ) selfadjoint , X.I ( 892 )

**Spectral**multiplicity theory , definition , X.5 ( 913 )**Spectral**radius , definition , VII.3.5 ( 567 ) of an element in a B - algebra , IX.1.2 ( 861 )

properties ...

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