1 |
M. Benharrat and B. Messirdi, Semi-Fredholm operators and pure contractions in Hilbert space, Rend. Circ. Mat. Palermo (2) 62 (2013), no. 2, 267-272. https://doi.org/10.1007/s12215-013-0123-9
DOI
|
2 |
M. Benharrat and B. Messirdi, Strong metrizability for closed operators and the semi-Fredholm operators between two Hilbert spaces, Int. J. Anal. Appl. 8 (2015), no. 2, 110-122.
|
3 |
A. Ben-Israel and T. N. E. Greville, Generalized inverses: theory and applications, Second edition, Springer, New York, 2003.
|
4 |
R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413-415. https://doi.org/10.2307/2035178
DOI
|
5 |
J. Dixmier, Etude sur les varietes et les operateurs de Julia, avec quelques applications, Bull. Soc. Math. France 77 (1949), 11-101.
DOI
|
6 |
P. A. Fillmore and J. P. Williams, On operator ranges, Advances in Math. 7 (1971), 254-281. https://doi.org/10.1016/S0001-8708(71)80006-3
DOI
|
7 |
A. Gherbi, B. Messirdi, and M. Benharrat, Quotient operators: new generation of linear operators, Funct. Anal. Approx. Comput. 7 (2015), no. 1, 85-93.
|
8 |
G. Hirasawa, Quotients of bounded operators and Kaufman's theorem, Math. J. Toyama Univ. 18 (1995), 215-224.
|
9 |
G. Hirasawa, A symmetric operator and its Kaufman's representation, Period. Math. Hungar. 49 (2004), no. 1, 43-47. https://doi.org/10.1023/B:MAHU.0000040538.77157.56
DOI
|
10 |
G. Hirasawa, A topology for semiclosed operators in a Hilbert space, Acta Sci. Math. (Szeged) 73 (2007), no. 1-2, 271-282.
|
11 |
G. Hirasawa, A metric for unbounded linear operators in a Hilbert space, Integral Equations Operator Theory 70 (2011), no. 3, 363-378. https://doi.org/10.1007/s00020-010-1851-2
DOI
|
12 |
S. Izumino, Quotients of bounded operators, Proc. Amer. Math. Soc. 106 (1989), no. 2, 427-435. https://doi.org/10.2307/2048823
DOI
|
13 |
S. Izumino, Decomposition of quotients of bounded operators with respect to closability and Lebesgue-type decomposition of positive operators, Hokkaido Math. J. 18 (1989), no. 2, 199-209. https://doi.org/10.14492/hokmj/1381517757
DOI
|
14 |
S. Izumino, Quotients of bounded operators and their weak adjoints, J. Operator Theory 29 (1993), no. 1, 83-96.
|
15 |
S. Izumino and G. Hirasawa, Positive symmetric quotients and their selfadjoint extensions, Proc. Amer. Math. Soc. 129 (2001), no. 10, 2987-2995. https://doi.org/10.1090/S0002-9939-01-05958-5
DOI
|
16 |
T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag New York, Inc., New York, 1966.
|
17 |
W. E. Kaufman, Representing a closed operator as a quotient of continuous operators, Proc. Amer. Math. Soc. 72 (1978), no. 3, 531-534. https://doi.org/10.2307/2042466
DOI
|
18 |
W. E. Kaufman, Semiclosed operators in Hilbert space, Proc. Amer. Math. Soc. 76 (1979), no. 1, 67-73. https://doi.org/10.2307/2042919
DOI
|
19 |
W. E. Kaufman, Closed operators and pure contractions in Hilbert space, Proc. Amer. Math. Soc. 87 (1983), no. 1, 83-87. https://doi.org/10.2307/2044357
DOI
|
20 |
W. E. Kaufman, A stronger metric for closed operators in Hilbert space, Proc. Amer. Math. Soc. 90 (1984), no. 1, 83-87. https://doi.org/10.2307/2044673
DOI
|
21 |
F. Kittaneh, On some equivalent metrics for bounded operators on Hilbert space, Proc. Amer. Math. Soc. 110 (1990), no. 3, 789-798. https://doi.org/10.2307/2047922
DOI
|
22 |
J. J. Koliha, On Kaufman's theorem, J. Math. Anal. Appl. 411 (2014), no. 2, 688-692. https://doi.org/10.1016/j.jmaa.2013.10.028
DOI
|