• 제목/요약/키워드: sequential operator-valued function space integral

검색결과 3건 처리시간 0.015초

Sequential operator-valued function space integral as an $L({L_p},{L_p'})$ theory

  • Ryu, K.S.
    • 대한수학회지
    • /
    • 제31권3호
    • /
    • pp.375-391
    • /
    • 1994
  • In 1968k Cameron and Storvick introduced the analytic and the sequential operator-valued function space integral [2]. Since then, the theo교 of the analytic operator-valued function space integral has been investigated by many mathematicians - Cameron, Storvick, Johnson, Skoug, Lapidus, Chang and author etc. But there are not that many papers related to the theory of the sequential operator-valued function space integral. In this paper, we establish the existence of the sequential operator-valued function space integral as an operator from $L_p$ to $L_p'(1 and investigated the integral equation related to this integral.

  • PDF

A GENERALIZED SEQUENTIAL OPERATOR-VALUED FUNCTION SPACE INTEGRAL

  • Chang, Kun-Soo;Kim, Byoung-Soo;Park, Cheong-Hee
    • 대한수학회지
    • /
    • 제40권1호
    • /
    • pp.73-86
    • /
    • 2003
  • In this paper, we define a generalized sequential operator-valued function space integral by using a generalized Wiener measure. It is an extention of the sequential operator-valued function space integral introduced by Cameron and Storvick. We prove the existence of this integral for functionals which involve some product Borel measures.