Bounds on the joint and generalized spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators

Linear Algebra and its Applications ◽

10.1016/j.laa.2017.07.020 ◽

2017 ◽

Vol 533 ◽

pp. 418-427 ◽

Author(s):

Aljoša Peperko

Keyword(s):

Spectral Radius ◽

Geometric Mean ◽

Positive Kernel ◽

Generalized Spectral Radius ◽

Kernel Operators ◽

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Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators

Linear and Multilinear Algebra ◽

10.1080/03081087.2018.1484423 ◽

2018 ◽

Vol 67 (11) ◽

pp. 2159-2172

Author(s):

Aljoša Peperko

Keyword(s):

Spectral Radius ◽

Geometric Mean ◽

Essential Spectral Radius ◽

Positive Kernel ◽

Kernel Operators ◽

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Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators

Linear and Multilinear Algebra ◽

10.1080/03081087.2018.1465885 ◽

2018 ◽

Vol 67 (8) ◽

pp. 1637-1652 ◽

Author(s):

Aljoša Peperko

Keyword(s):

Spectral Radius ◽

Geometric Mean ◽

Operator Norm ◽

Numerical Radius ◽

Positive Kernel ◽

Kernel Operators

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Inequalities for the Hadamard Weighted Geometric Mean of Positive Kernel Operators on Banach Function Spaces

10.1007/s11117-006-0048-z ◽

2006 ◽

Vol 10 (4) ◽

pp. 613-626 ◽

Author(s):

Roman Drnovšek ◽

Aljoša Peperko

Keyword(s):

Geometric Mean ◽

Function Spaces ◽

Banach Function Spaces ◽

Positive Kernel ◽

Kernel Operators

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An efficient lower bound for the generalized spectral radius of a set of matrices

Linear Algebra and its Applications ◽

10.1016/0024-3795(94)00171-5 ◽

1996 ◽

Vol 240 ◽

pp. 1-7 ◽

Author(s):

Mohsen Maesumi

Keyword(s):

Lower Bound ◽

Spectral Radius ◽

Generalized Spectral Radius

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On the max version of the generalized spectral radius theorem

Linear Algebra and its Applications ◽

10.1016/j.laa.2007.08.041 ◽

2008 ◽

Vol 428 (10) ◽

pp. 2312-2318 ◽

Author(s):

Aljoša Peperko

Keyword(s):

Spectral Radius ◽

Generalized Spectral Radius

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Bounds on the generalized and the joint spectral radius of Hadamard products of bounded sets of positive operators on sequence spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2012.02.022 ◽

2012 ◽

Vol 437 (1) ◽

pp. 189-201 ◽

Author(s):

Aljoša Peperko

Keyword(s):

Spectral Radius ◽

Positive Operators ◽

Sequence Spaces ◽

Joint Spectral Radius ◽

Hadamard Products ◽

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Generalized spectral radius and Lyapunov exponents of linear time varying systems

2007 IEEE 22nd International Symposium on Intelligent Control ◽

10.1109/isic.2007.4359598 ◽

2007 ◽

Author(s):

Adam Czornik ◽

Aleksander Nawrat

Keyword(s):

Lyapunov Exponents ◽

Spectral Radius ◽

Linear Time ◽

Time Varying ◽

Time Varying Systems ◽

Generalized Spectral Radius

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Continuity of the generalized spectral radius in max algebra

Linear Algebra and its Applications ◽

10.1016/j.laa.2008.12.007 ◽

2009 ◽

Vol 430 (8-9) ◽

pp. 2301-2311 ◽

Author(s):

Yung-Yih Lur ◽

Wen-Wei Yang

Keyword(s):

Spectral Radius ◽

Max Algebra ◽

Generalized Spectral Radius

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The generalized spectral radius is strictly increasing

Linear Algebra and its Applications ◽

10.1016/j.laa.2004.07.013 ◽

2005 ◽

Vol 395 ◽

pp. 141-153 ◽

Author(s):

Fabian Wirth

Keyword(s):

Spectral Radius ◽

Generalized Spectral Radius

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Generalized spectral radius and norm inequalities for Hilbert space operators

International Journal of Mathematics ◽

10.1142/s0129167x15500974 ◽

2015 ◽

Vol 26 (12) ◽

pp. 1550097

Author(s):

Amer Abu-Omar ◽

Fuad Kittaneh

Keyword(s):

Hilbert Space ◽

Spectral Radius ◽

Operator Matrices ◽

Norm Inequalities ◽

Hilbert Space Operators ◽

Generalized Spectral Radius

We apply spectral radius and norm inequalities to certain [Formula: see text] operator matrices to give simple proofs, refinements and generalizations of known norm inequalities. New norm inequalities are also given. Our analysis uncovers the interplay between different spectral radius and norm inequalities.

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