TY - JOUR AU - A. A. Adizov, PY - 2022/07/13 Y2 - 2024/03/28 TI - GLEASON'S THEOREM FOR VECTOR-VALUED MEASURES ON PROJECTORS JBW-ALGEBRAS JF - Galaxy International Interdisciplinary Research Journal JA - Galaxy int. interdiscip. res. j. VL - 10 IS - 7 SE - Articles DO - UR - https://internationaljournals.co.in/index.php/giirj/article/view/2387 SP - 144-147 AB - <p>Let JBW algebra [1,2,3] with no direct summand of type &nbsp;,and let &nbsp;be its lattice of idempotents from &nbsp;and &nbsp;be a Banach space. In this paper, we prove that any finitely additive vector-valued measure &nbsp;has a unique extension to a bounded linear operator mapping&nbsp; <strong>&nbsp;</strong>to &nbsp;.</p><p><strong>&nbsp;</strong></p> ER -