Open AccessOPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD
Author(s) -
Solikhin Solikhin,
YD Sumanto,
Susilo Hariyanto,
Abdul Aziz
Publication year - 2018
Publication title -
journal of fundamental mathematics and applications
Language(s) - English
Resource type - Journals
eISSN - 2621-6035
pISSN - 2621-6019
DOI - 10.14710/jfma.v1i2.17
Subject(s) - mathematics , finite rank operator , compact operator , operator (biology) , bounded operator , bounded function , quasinormal operator , integrable system , locally integrable function , operator norm , shift operator , multiplication operator , compact operator on hilbert space , pure mathematics , mathematical analysis , hilbert space , banach space , computer science , biochemistry , chemistry , repressor , transcription factor , extension (predicate logic) , gene , programming language
An integral Dunford and an operator on Dunford integrable functional space have discussed in this article. The results were shown that the Dunford integrable functional space was a linear function. For every Dunford integrable function on a closed interval, there is an operator that is linear bounded and weak compact operator, whereas its adjoin operator is also linear bounded and weak compact. An operator is weak compact if and only if its adjoin operator is weak compact. Furthermore, the norm of this operator was equal to the norm of its adjoin operator.