The inverse spectral problem for self-adjoint Hankel operators
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
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(1.1) (Au, v) = (u, A∗v), u, v ∈ H. We say A is self-adjoint if A = A∗. We say U ∈ L(H) is unitary if U∗ = U−1. More generally, if H is another Hilbert space, we say Φ ∈ L(H,H) is unitary provided Φ is one-to-one and onto, and (Φu, Φv)H = (u, v)H , for all u, v ∈ H. If dim H = n < ∞, each self-adjoint A ∈ L(H) has the property that H has an orthonormal basis of eigenvectors of A. The same holds...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1995
ISSN: 0001-5962
DOI: 10.1007/bf02392468