| Budget Amount *help |
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2012: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2011: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
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| Research Abstract |
Some interesting results are found on the boundary of numerical range of linear operators in a finite dimensional Hilbert space. Especially some algebraic curve theoretic analysis is performed for shift operators. Concerning with Krein space numerical ranges, some results on the product ranges are obtained. The result will contribute to the basis of applications in nuclear magnetic resonance or spectral scopy. The results are presented in 16 academic papers and one book. By 7 presentations, the results are presented. New results in dynamics and hyperbolic differential equations are also obtained.
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