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The normalized numerical ranges of 2 × 2 matrices

✍ Scribed by L. Z. Gevorgyan

Book ID
111505972
Publisher
Allerton Press, Inc.
Year
2011
Tongue
English
Weight
693 KB
Volume
46
Category
Article
ISSN
1068-3623

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📜 SIMILAR VOLUMES

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✍ S.W. Drury 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 646 KB

In an earlier paper, the author developed a formula Ibr the trace class multiplier norm of a matrix of rank at most 2. In this article, applications of this formula are given. In the main result we suppose that .I"1 ..... .L and g~,... ,g,, are given sets of complex numbers. A description is given o

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We show that an n-by-n companion matrix A can have at most n line segments on the boundary NW (A) of its numerical range W(A), and it has exactly n line segments on NW (A) if and only if, for n odd, A is unitary, and, for n even, A is unitarily equivalent to the direct sum A 1 ⊕ A 2 of two (n/2)-by-

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✍ Steffen Roch 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 739 KB

A Banach algebraic approach is proposed to study the asymptotic bchaviour of the numerical ranges of certain (finite) approximation matrices of {infinite) operators. The approach works for large classes of approximation methods; it is examined in detail here for the finite sections of Toeplitz opera