Results 61 to 70 of about 1,463 (129)

Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov

open access: yesConcrete Operators, 2020
We present a survey of some recent results concerning joint numerical ranges of n-tuples of Hilbert space operators, accompanied with several new observations and remarks.
Müller V., Tomilov Yu.
doaj   +1 more source

On the generalized Kato spectrum [PDF]

open access: yes, 2011
2010 Mathematics Subject Classification: 47A10.We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some
Benharrat, Mohammed, Messirdi, Bekkai
core  

Generic stability of the spectra for bounded linear operators on Banach spaces

open access: yesInternational Journal of Stochastic Analysis, Volume 12, Issue 1, Page 31-33, 1999., 1998
In this paper, we study the stability of the spectra of bounded linear operators B(X) in a Banach space X, and obtain that their spectra are stable on a dense residual subset of B(X).
Luo Qun
wiley   +1 more source

Nonlocal heat equations with generalized fractional Laplacian

open access: yesAdvances in Nonlinear Analysis
We study heat equations with generalized fractional Laplacian, which is defined by the spectral theory. Here we develop the existence theory for those equations. Also, we present some numerical simulations for our problems.
Kossowski Igor, Przeradzki Bogdan
doaj   +1 more source

On the continuity of spectra for families of magnetic pseudodifferential operators

open access: yes, 2010
For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter $\epsilon$, we show that the corresponding family of spectra also varies continuously with $\epsilon$.Comment: 22 ...
Blanchard E.   +5 more
core   +2 more sources

On the completely indeterminate case for block Jacobi matrices

open access: yesConcrete Operators, 2017
We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
doaj   +1 more source

Second regularized trace of a differential operator with second order unbounded operator coefficient given in a finite interval

open access: yes, 2017
In this work, we establish a formula for the second regularized trace of a second order differential operator with unbounded operator coefficient given in a finite interval. Mathematics subject classification (2010): 47A10, 34L20, 34B05, 34B09.
Özlem Baksi   +2 more
semanticscholar   +1 more source

On a class of $h$-Fourier integral operators

open access: yes, 2013
In this paper, we study the $L^{2}$-boundedness and $L^{2}$-compactness of a class of $h$-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to $0)$
Abderrahmane, Senoussaoui   +1 more
core   +2 more sources

Peripheral local spectrum preservers and maps increasing the local spectral radius

open access: yes, 2016
We address two long standing problems in the context of local spectral radius preservers. First, we completely describe the form of maps preserving the peripheral local spectrum of product or triple product of operators.
A. Bourhim, Tarik Jari, J. Mashreghi
semanticscholar   +1 more source

On unbounded commuting Jacobi operators and some related issues

open access: yesConcrete Operators, 2019
We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
doaj   +1 more source

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