A GENERALIZED PETTIS MEASURABILITY CRITERION AND INTEGRATION OF VECTOR FUNCTIONS | Zendy

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A GENERALIZED PETTIS MEASURABILITY CRITERION AND INTEGRATION OF VECTOR FUNCTIONS

Author(s) -

Dobrakov,

Panchapagesan

Publication year - 1999

Publication title -

real analysis exchange

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.229

H-Index - 20

eISSN - 1930-1219

pISSN - 0147-1937

DOI - 10.2307/44153025

Subject(s) - mathematics , pure mathematics , vector valued function , algebra over a field , discrete mathematics

For Banach space valued functions, the concepts of P-measurability, A-measurabiqlity and m-measurability are defined, where P is a &ring of subsets of a non void set T , A is a a-subadditive submeasure on a ( P ) and m is an operator valued measure on P . Various characterizations are given for P-measurable (resp. A-measurable, m-measurable) vector functions on T. Using them and other auxiliary results proved here, the basic theorems of [6] are rigorously established.

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