On Sum and Restriction of Hypo-EP Operators
proved that sum of hypo-EP operators and restriction of hypo-EP operator are again hypo-EP under some conditions.
Bruce A. Barnes, Restrictions of bounded linear operators: closed range, Proc. Amer. Math. Soc. 135 (2007), no. 6, 1735–1740 (electronic).
Richard Bouldin, The product of operators with closed range, Tohoku
Math. J. (2) 25 (1973), 359–363.
K. G. Brock, A note on commutativity of a linear operator and its Moore-Penrose inverse, Numer. Funct. Anal. Optim. 11 (1990), no. 7-8, 673–678.
Stephen L. Campbell and Carl D. Meyer, EP operators and generalized inverses, Canad. Math. Bull 18 (1975), no. 3, 327–333.
Dragan S. Djordjevi ́c and J. J. Koliha, Characterizing Hermitian, normal and EP operators, Filomat 21 (2007), no. 1, 39–54.
R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966),
Robert E. Hartwig and Irving J. Katz, On products of EP matrices, Linear Algebra Appl. 252 (1997), 339–345.
Masuo Itoh, On some EP operators, Nihonkai Math. J. 16 (2005), no. 1, 49–56
Irving Jack Katz and Martin H. Pearl, On EPr and normal EPr matrices, J. Res. Nat. Bur. Standards Sect. B 70B (1966), 47–77.
Ar. Meenakshi, On sums of EP matrices, Houston J. Math. 9 (1983), no. 1, 63–69.
Carl D. Meyer, Jr., Some remarks on EP r matrices, and generalized inverses, Linear Algebra and Appl. 3 (1970), 275–278.
Arvind B. Patel and Mahaveer P. Shekhawat, Hypo-ep operators, Indian Journal of Pure and Applied Mathematics (2016), 1–12.
M. H. Pearl, On generalized inverses of matrices, Proc. Cambridge Philos. Soc. 62 (1966), 673–677.
Hans Schwerdtfeger, Introduction to Linear Algebra and the Theory of Matrices, P. Noordhoff, Groningen, 1950.
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