An improved block splitting preconditioner for complex symmetric indefinite linear systems
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DOI: 10.1007/s11075-017-0323-z
Abstract: In this paper, an improved block splitting preconditioner for a class of complex symmetric indefinite linear systems is proposed. By adopting two iteration parameters and the relaxation technique, the new preconditioner not only remains the… read more here.
Keywords: block; splitting preconditioner; improved block; block splitting ... See more keywords
Complex symmetric evolution equations
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DOI: 10.1007/s13324-020-00358-3
Abstract: We study certain dynamical systems which leave invariant an indefinite quadratic form via semigroups or evolution families of complex symmetric Hilbert space operators. In the setting of bounded operators we show that a $$\mathcal {C}$$… read more here.
Keywords: mathcal selfadjoint; symmetric evolution; evolution equations; complex symmetric ... See more keywords
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces
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DOI: 10.1007/s13324-022-00651-3
Abstract: In the paper, we investigate weighted composition operators on Bergman spaces of a half-plane. We characterize weighted composition operators which are hermitian and those which are complex symmetric with respect to a family of conjugations.… read more here.
Keywords: composition operators; complex symmetric; bergman spaces; weighted composition ... See more keywords
Complex symmetric weighted composition operators on Hγ(D)
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DOI: 10.1016/j.jmaa.2018.03.071
Abstract: Abstract We study the complex symmetric structure of weighted composition operators of the form W ψ , φ on the Hilbert space H γ ( D ) of holomorphic functions over the open unit disk… read more here.
Keywords: weighted composition; composition operators; composition; symmetric weighted ... See more keywords
Weyl's theorem for complex symmetric operators
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DOI: 10.1016/j.jmaa.2019.02.031
Abstract: Abstract An operator on Hilbert space is complex symmetric if it can be represented as a symmetric matrix relative to some orthonormal basis of the space. It is proved in this paper that each complex… read more here.
Keywords: weyl theorem; theorem complex; symmetric operators; symmetric ... See more keywords
A class of complex symmetric Toeplitz operators on Hardy and Bergman spaces
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DOI: 10.1016/j.jmaa.2020.124173
Abstract: Abstract An operator T ∈ B ( H ) is complex symmetric if there exists a conjugation C on H so that C T C = T ⁎ . In this paper, we characterize the… read more here.
Keywords: symmetric; hardy bergman; symmetric toeplitz; operator ... See more keywords
Some Remarks on the Complex J-Symmetric Eigenproblem
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DOI: 10.1016/j.laa.2018.01.014
Abstract: Abstract The eigenproblem for complex J-symmetric matrices H C = [ A C D − A T ] , A , C = C T , D = D T ∈ C n × n… read more here.
Keywords: symmetric eigenproblem; complex symplectic; decomposition; remarks complex ... See more keywords
ON ∞-COMPLEX SYMMETRIC OPERATORS
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DOI: 10.1017/s0017089516000550
Abstract: Abstract In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property… read more here.
Keywords: symmetric operators; complex symmetric;
Skew m-complex symmetric operators
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DOI: 10.2298/fil1910975c
Abstract: In this paper we study skew m-complex symmetric operators. In particular, we show that if T ? L(H) is a skew m-complex symmetric operator with a conjugation C, then eitT , e-itT , and e-itT*… read more here.
Keywords: operators skew; skew complex; symmetric operators; complex symmetric ... See more keywords
Mind Duggal transforms
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DOI: 10.2298/fil1918863b
Abstract: It is known that if an operator T is complex symmetric then its Aluthge transform is also complex symmetric. This Note is devoted to showing that the Duggal transform doesn?t inherit this property. For instance,… read more here.
Keywords: transform; complex symmetric; mind duggal; duggal transforms ... See more keywords
Complex Symmetric Formulation of Maxwell Equations for Fields and Potentials
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DOI: 10.3390/math6070114
Abstract: Maxwell equations have two types of asymmetries between the electric and magnetic fields. The first asymmetry is the inhomogeneity induced by the absence of magnetic charge sources. The second asymmetry is due to parity. We… read more here.
Keywords: formulation maxwell; equations fields; fields potentials; maxwell equations ... See more keywords