Birkhoff's theorem and multidimensional numerical range
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.
15 صفحه اولGENERALIZED HIGHER-RANK NUMERICAL RANGE
In this note, a generalization of higher rank numerical range isintroduced and some of its properties are investigated
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We prove new enclosures for the spectrum of non-selfadjoint operator matrices associated with second order linear differential equations z̈(t) +Dż(t) +A0z(t) = 0 in a Hilbert space. Our main tool is the quadratic numerical range for which we establish the spectral inclusion property under weak assumptions on the operators involved; in particular, the damping operator only needs to be accretive a...
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t∈α xt : α ∈ Pf (ω)}. A set A ⊆ N is called an IP-set iff there exists a sequence 〈xn〉n=0 in N such that FS(〈xn〉n=0) ⊆ A. (This definitions make perfect sense in any semigroup (S, ·) and we indeed plan to use them in this context. FS is an abbriviation of finite sums and will be replaced by FP if we use multiplicative notation for the semigroup operation.) Now Hindman’s Theorem states that in a...
متن کاملA Multidimensional Central Sets Theorem
t∈α xt : α ∈ Pf (ω)}. A set A ⊆ N is called an IP-set iff there exists a sequence 〈xn〉n=0 in N such that FS(〈xn〉n=0) ⊆ A. (This definitions make perfect sense in any semigroup (S, ·) and we indeed plan to use them in this context. FS is an abbriviation of finite sums and will be replaced by FP if we use multiplicative notation for the semigroup operation.) Now Hindman’s Theorem states that in a...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2005
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2004.09.001