NOTE ON SOME OPERATOR EQUATIONS AND LOCAL SPECTRAL PROPERTIES
, 2016 In this paper we define Sk, j by the set of solutions (A,B) of the operator equations AkBj+1Ak = A2k+ j and BkAj+1Bk = B2k+ j . Then we observe the set Sk, j is increasing for all integers k 1 and j 0 .
I. An, Eungil Ko
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Factorization of some triangular matrix functions and its applications
, 2015 We consider defined on the real line R matrix functions with monomial terms of the form ceiλx on the main diagonal and one row, and with zero entries elsewhere.
Y. Karlovich +2 more
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Essential spectra of some matrix operators by means of measures of weak noncompactness
, 2014 In this paper, we give some results concerning stability in the Fredholm theory via the concept of measures of weak noncompactness. These results are exploited to investigate the essential spectra of some matrix operators on Banach spaces.
Boulbeba Abdelmoumen
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Fredholm stability results for linear combinations of m-potent operators
, 2012 We investigate the stability of the nullity, defect and index of linear combinations uA+ vB of generalized quadratic operators, extending in several directions the recent results of Gau, Wang and Wong (Oper.
Zhongpeng Yang +4 more
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Invertibility and Fredholmness of linear combinations of quadratic, k-potent and nilpotent operators
, 2008 Recently, the invertibility of linear combinations of two idempotents has been studied by several authors. Let P and Q be idempotents in a Banach algebra. It was shown that the invertibility of P + Q is equivalent to that of aP + bQ for nonzero a, b with
Hwa-Long Gau, Chih-Jen Wang, N. Wong
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A note on the index of $B$-Fredholm operators
, 2004 From Corollary 3.5 in [Berkani, M; Sarih, M.; Studia Math. 148 (2001), 251– 257] we know that if S, T are commuting B-Fredholm operators acting on a Banach space X, then ST is a B-Fredholm operator. In this note we show that in general we do not have ind(
M. Berkani, D. Medková
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The Differences between the Effects of a Nanoformulation and a Conventional Form of Atrazine to Lettuce: Physiological Responses, Defense Mechanisms, and Nutrient Displacement. [PDF]
J Agric Food Chem, 2021 Wu J +6 more
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Fredholmness of multiplication of a weighted composition operator with its adjoint on H2 and Aα2. [PDF]
J Inequal Appl, 2018 Haji Shaabani M.
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FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER
Proceedings of the Edinburgh Mathematical Society, 2005 H. Gebran, C. Stuart
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. Erratum/Addendum to the paper Powers of posinormal operators , Operators and Matrices 10 (2016), 15–27. Mathematics subject classi fi cation (2020): Primary 47B20; Secondary 47A53.
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