The numerical range of a tridiagonal operator

DOI10.1016/j.jmaa.2010.07.025zbMath1205.47007OpenAlexW2043534659MaRDI QIDQ710937

Hiroshi Nakazato, Mao-Ting Chien

Publication date: 22 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.025

zbMATH Keywords

numerical rangeRogers-Ramanujan identitiestridiagonal operator

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12)

Related Items (12)

Criteria for the absence of point spectrum on the boundary of the numerical range of tridiagonal matrices ⋮ On the compactness and the essential norm of operators defined by infinite tridiagonal matrices ⋮ Numerical range of two operators in semi-inner product spaces ⋮ Normal shape and numerical range of a real 2-Toeplitz tridiagonal matrix ⋮ The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix ⋮ The numerical range of banded biperiodic Toeplitz operators ⋮ Computing the numerical range of Krein space operators ⋮ An inverse indefinite numerical range problem ⋮ On the numerical ranges of some tridiagonal matrices ⋮ The numerical range of banded 2-Toeplitz operators in spaces with an indefinite metric ⋮ The numerical range of some periodic tridiagonal operators is the convex hull of the numerical ranges of two finite matrices ⋮ A note on classes of structured matrices with elliptical type numerical range

Cites Work

• Unnamed Item
• On geometric properties of the numerical range
• The Numerical Range of a Weighted Shift
• The numerical radius of a weighted shift operator with geometric weights
• Über den Wertevorrat einer Matrix

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