## Linear Operators: Spectral theory |

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Page 932

Let S be an abstract set and a field ( resp . o - field ) of subsets of S. Let F be an

operators on a Hilbert space H satisfying F ( $ ) = 0 and F ( S ) = 1 . Then there

exists a ...

Let S be an abstract set and a field ( resp . o - field ) of subsets of S. Let F be an

**additive**( resp . weakly countably**additive**) function on to the set of positiveoperators on a Hilbert space H satisfying F ( $ ) = 0 and F ( S ) = 1 . Then there

exists a ...

Page 958

This argument shows that the vector valued

countably

is countably

this ...

This argument shows that the vector valued

**additive**set function y is weaklycountably

**additive**on the o - field consisting ... By a theorem of Pettis ( IV.10.1 ) itis countably

**additive**in the strong topology , i.e. , lv ( rm ) / 2 = wolrn ) → 0 , andthis ...

Page 1803

Solid analytical geometry and determinants . H. Holt Co. , New York , 1930 .

Dubrovskii ( Doubrovsky ) , V. M. 1 . On some properties of completely

set functions and their application to generalization of a theorem of Lebesgue .

Mat .

Solid analytical geometry and determinants . H. Holt Co. , New York , 1930 .

Dubrovskii ( Doubrovsky ) , V. M. 1 . On some properties of completely

**additive**set functions and their application to generalization of a theorem of Lebesgue .

Mat .

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