| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
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| Research Abstract |
For selfadjoint operators/Hermitian matrices, we can define the order structure. For a real-valued function f we know the functional calculus by f. If this operation preserves the preceding order, then we say that f is operator/matrix monotone. It is well-known that this is equivalent to the positive-semidefiniteness of the corresponding Loewner matrices to f. Rajendra Bhatia and I studied the conditional positive/negative definiteness of Loewner matrices to have their characterization with applications. Fumio Hiai and I gave more precise arguments to have their generalizations.
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