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FUNCTIONAL-CALCULUS AND FRACTIONAL POWER OF MULTIVALUED NONNEGATIVE LINEAR-OPERATORS
被引:0
|作者:
ALAARABIOU, EH
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中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We extend some results of functional calculus to multivalued nonnegative linear operators A in Banach spaces. In particular, we study the fractional power A-alpha for 0 < alpha < 1, and prove that A-alpha + beta = A-alpha A-beta, (A-1)-alpha = (A-alpha)-1 for alpha, beta > 0 with alpha + beta > 0 with alpha + beta less-than-or-equal-to 1, as well as [GRAPHICS]
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页码:163 / 166
页数:4
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