Search Results - "Koliha, J. J."

Evaluating Lebesgue Integrals Efficiently with the FTC by Koliha, J J

“…This note addresses evaluation of Lebesgue integrals on the real line using the Fundamental Theorem of Calculus, without having to verify that the primitive is…”
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Moore–Penrose inverse in rings with involution by Koliha, J.J., Djordjević, Dragan, Cvetković, Dragana

“…We study the Moore–Penrose inverse (MP-inverse) in the setting of rings with involution. The results include the relation between regular, MP-invertible and…”
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Positive solutions to the equations AX = C and XB = D for Hilbert space operators by DAJIC, Alegra, KOLIHA, J. J

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EP elements in rings by Mosić, Dijana, Djordjević, Dragan S., Koliha, J.J.

“…In this paper, we present a number of new characterizations of EP elements in rings with involution in purely algebraic terms, and considerably simplify proofs…”
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Generalized Drazin invertibility of combinations of idempotents by Koliha, J.J., Cvetković-Ilić, Dragana, Deng, Chunyuan

“…The paper serves as a correction to J. Math. Anal. Appl. 359 (2009) 731–738 dealing with the Drazin invertibility of combinations of idempotents p,q in a…”
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Equations ax = c and xb = d in rings and rings with involution with applications to Hilbert space operators by Dajić, Alegra, Koliha, J.J.

“…This paper reviews the equations ax = c and xb = d from a new perspective by studying them in the setting of associative rings with or without involution…”
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The nullity and rank of linear combinations of idempotent matrices by Koliha, J.J., Rakočević, V.

“…Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary, Nonsingularity of linear combinations of idempotent matrices, Linear Algebra Appl. 388 (2004) 25–29]…”
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Mean, Meaner, and the Meanest Mean Value Theorem by Koliha, J. J.

“…The Mean Value Theorem of the elementary calculus keeps attracting the attention of mathematicians who ponder how to make its proof simple and elegant, how to…”
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Isolated spectral points by Koliha, J. J.

“…The paper studies isolated spectral points of elements of Banach algebras and of bounded linear operators in terms of the existence of idempotents, and gives…”
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Elements of rings with equal spectral idempotents by Koliha, J. J., Patricio, Pedro

“…In this paper we define and study a generalized Drazin inverse xD for ring elements x, and give a characterization of elements a, b for which aaD = bbD. We…”
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Error bounds for a general perturbation of the Drazin inverse by Koliha, J.J.

“…The paper solves a long standing problem of finding error bounds for a general perturbation of the Drazin inverse. The bounds are given in terms of the…”
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CONTINUITY AND GENERAL PERTURBATION OF THE DRAZIN INVERSE FOR CLOSED LINEAR OPERATORS by Gonzalez, N Castro, Koliha, J J, Rakocevic, V

“…We study perturbations and continuity of the Drazin inverse of a closed linear operator A and obtain explicit error estimates in terms of the gap between…”
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A Fundamental Theorem of Calculus for Lebesgue Integration by Koliha, J. J.

“…A mathematical analysis proving a theorem that uses only standard results about Henri-Leon Lebesgue measure and integration is presented…”
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CONTINUITY AND DIFFERENTIABILITY OF THE MOORE-PENROSE INVERSE IN C-ALGEBRAS by KOLIHA, J. J.

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The difference and sum of projectors by Koliha, J.J, Rakočević, V, Straškraba, I

“…The aim of this paper is to present new results on the invertibility of the sum of projectors, and new relations between the nonsingularity of the difference…”
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Fredholm Properties of the Difference of Orthogonal Projections in a Hilbert Space by Koliha, J. J., Rakočević, V.

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A Fundamental Theorem of Calculus for Lebesgue Integration by Koliha, J. J.

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New Hilbert–Pachpatte Type Integral Inequalities by Handley, G.D., Koliha, J.J., Pečarić, J.E.

“…In this paper we obtain a new class of multivariable integral inequalities of Hilbert type. By specializing the upper estimate functions in the hypothesis and…”
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On Kaufmanʼs theorem by Koliha, J.J.

“…Kaufmanʼs theorem (Kaufman, 1978 [9]) on representing closed linear operators as quotients of bounded operators is given a new constructive proof, and is…”
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Opial type Lp-inequalities for fractional derivatives by G. A. Anastassiou, J. J. Koliha, J. Pecaric

“…This paper presents a class of Lp-type Opial inequalities for generalized fractional derivatives for integrable functions based on the results obtained earlier…”
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