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Applied Mathematics in Tunisia: International Conference on by Aref Jeribi, Mohamed Ali Hammami, Afif Masmoudi

By Aref Jeribi, Mohamed Ali Hammami, Afif Masmoudi

This contributed quantity offers a few contemporary theoretical advances in arithmetic and its functions in quite a few parts of technological know-how and expertise. Written via across the world well-known scientists and researchers, the chapters during this publication are in line with talks given on the foreign convention on Advances in utilized arithmetic (ICAAM), which came about December 16-19, 2013, in Hammamet, Tunisia. subject matters mentioned on the convention incorporated spectral idea, operator conception, optimization, numerical research, traditional and partial differential equations, dynamical structures, regulate idea, likelihood, and facts. those court cases objective to foster and advance additional development in all parts of utilized mathematics.

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Additional info for Applied Mathematics in Tunisia: International Conference on Advances in Applied Mathematics (ICAAM), Hammamet, Tunisia, December 2013

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H/ non-dense in H. Then, according T1 T2 is quasi-T HN if and only if T1 is T H N . T1 / [ f0g: k Proof. H/. B/; see [45]. Upper triangular operator matrices have been studied by many authors, see, for instance, [24, 28, 38, 56]. 7. 10 ([10]). H/ is an analytically quasi-T H N operator, then T is hereditarily polaroid. Moreover, T has SVEP. In the sequel we give some examples of operators which are quasi-totally hereditarily normaloid. n; k/-quasiparanormal operators. 1; k/- quasiparanormal operators has been studied in [55].

31. P. Duggal: Hereditarily polaroid operators, SVEP and Weyl’s theorem. J. Math. Anal. Appl. 340 (2008), 366–373. 32. P. V. Djordjevíc: Generalized Weyl’s theorem for a class of operators satisfying a norm condition. Math. Proc. Royal Irish Acad. 104A, (2004), 75–81. 33. B. P. Duggal, H. Jeon: Remarks on spectral properties of p-hyponormal and log-hyponormal operators. Bull. Kor. Math. Soc. 42, (2005), 541–552. 34. P. Duggal, R. E. Harte, I. H. Jeon: Polaroid operators and Weyl’s theorem. Proc.

42. D. C. Lay: Spectral analysis using ascent, descent, nullity and defect. Math. Ann. 184 (1970), 197–214. 43. K. B. Laursen, M. M. , Clarendon Press, Oxford 2000. 44. B. Laursen: Operators with finite ascent. Pacific J. Math. 152, (1992), 323–36. 45. W. Y. Lee: Weyl’spectra of operator matrices. Proc. Amer. Math. Soc. 129 (2001), 131–138. 46. W. Y. Lee, S. H. Lee: Some generalized theorems on p-quasihyponormal operators for 0 < p < 1. Nihonkai Math. J. 8, (1997), 109–115. 47. C. Lin, Y. Ruan, Z.

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