On the Expression of Generalized Inverses of Perturbed Bounded Linear Operators
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چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولGeneralised Inverses in Jörgens Algebras of Bounded Linear Operators
Let X be a Banach space and T be a bounded linear operator from X to itself (T ∈ B(X)). An operator S ∈ B(X) is a generalised inverse of T if TST = T . In this paper we look at the Jörgens algebra, an algebra of operators on a dual system, and characterise when an operator in that algebra has a generalised inverse that is also in the algebra. This result is then applied to bounded inner product...
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Let X be a Banach space and T be a bounded linear operator from X to itself (T ∈ B(X).) An operator D ∈ B(X) is a Drazin inverse of T if TD = DT , D = TD and T k = T D for some nonnegative integer k. In this paper we look at the Jörgens algebra, an algebra of operators on a dual system, and characterise when an operator in that algebra has a Drazin inverse that is also in the algebra. This resu...
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In this paper, some extensions of recent results on Choi-Davis-Jensen’s inequality due to Khosravi et al. [M. Khosravi, J.S. Aujla, S.S. Dragomir, and M.S. Moslehian. Refinements of ChoiDavis-Jensen’s inequality. Bulletin of Mathematical Analysis and Applications, 3:127–133, 2011.] and Fujii et al. [J.-I. Fujii, J. Pečarić, and Y. Seo. The Jensen inequality in an external formula. Journal of Ma...
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ژورنال
عنوان ژورنال: Missouri Journal of Mathematical Sciences
سال: 2003
ISSN: 0899-6180
DOI: 10.35834/2003/1501040