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MORTAD, MOHAMMED HICHEM. YET MORE VERSIONS OF THE FUGLEDE–PUTNAM THEOREM*. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 473-480. doi: 10.1017/S0017089509005114
@article{10_1017_S0017089509005114,
author = {MORTAD, MOHAMMED HICHEM},
title = {YET {MORE} {VERSIONS} {OF} {THE} {FUGLEDE{\textendash}PUTNAM} {THEOREM*}},
journal = {Glasgow mathematical journal},
pages = {473--480},
year = {2009},
volume = {51},
number = {3},
doi = {10.1017/S0017089509005114},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005114/}
}
TY - JOUR AU - MORTAD, MOHAMMED HICHEM TI - YET MORE VERSIONS OF THE FUGLEDE–PUTNAM THEOREM* JO - Glasgow mathematical journal PY - 2009 SP - 473 EP - 480 VL - 51 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005114/ DO - 10.1017/S0017089509005114 ID - 10_1017_S0017089509005114 ER -
[1] 1.Barría, J., The commutative product V *V = V V * for isometries V and V , Indiana Univ. Math. J. 28 (1979), 581–585. Google Scholar | DOI
[2] 2.Berberian, S. K., Note on a theorem of Fuglede and Putnam, Proc. Am. Math. Soc. 10 (1959), 175–182. Google Scholar | DOI
[3] 3.Berberian, S. K., Extensions of a theorem of Fuglede and Putnam, Proc. Am. Math. Soc. 71/1 (1978), 113–114. Google Scholar | DOI
[4] 4.Conway, J. B., A course in functional analysis, 2nd ed. (Springer-Verlag, New York, 1990). Google Scholar
[5] 5.Embry, M. R., Similarities involving normal operators on Hilbert space, Pacif. J. Math. 35/2 (1970), 331–336. Google Scholar | DOI
[6] 6.Fuglede, B., A commutativity theorem for normal operators, Proc. Natl. Acad. Sci. 36 (1950), 35–40. Google Scholar PubMed | DOI
[7] 7.Furuta, T., On relaxation of normality in the Fuglede–Putnam theorem, Proc. Am. Math. Soc. 77 (1979), 324–328. Google Scholar | DOI
[8] 8.Furuta, T., Invitation to linear operators: From matrices to bounded linear operators on a Hilbert space (CRC Press, London, 2002). Google Scholar
[9] 9.Halmos, P. R., A Hilbert space problem book (Springer-Verlag, New York, 1974). Google Scholar | DOI
[10] 10.Jeon, I. H., Kim, S. H., Ko, E. and Park, J. E., On positive-normal operators, Bull. Korean Math. Soc. 39/1 (2002), 33–41. Google Scholar | DOI
[11] 11.Mortad, M. H., An application of the Putnam–Fuglede theorem to normal products of self-adjoint operators, Proc. Am. Math. Soc. 131/10 (2003), 3135–3141. Google Scholar | DOI
[12] 12.Mortad, M. H., On some product of two unbounded self-adjoint operators, submitted. Google Scholar
[13] 13.Okuyama, T. and Watanabe, K., The Fuglede–Putnam theorem and a generalization of Barría's Lemma, Proc. Am. Math. Soc. 126/9 (1998), 2631–2634. Google Scholar | DOI
[14] 14.Putnam, C. R., On normal operators in Hilbert space, Am. J. Math. 73 (1951), 357–362. Google Scholar | DOI
[15] 15.Radjabalipour, M., An extension of Putnam–Fuglede theorem for hyponormal operators, Math. Zeit. 194/1 (1987), 117–120. Google Scholar | DOI
[16] 16.Rhaly, H. C. Jr, Posinormal operators, J. Math. Soc. Jpn. 46/4 (1994), 587–605. Google Scholar | DOI
[17] 17.Rosenblum, M., On a theorem of Fuglede and Putnam, J. Lond. Math. Soc. 33 (1958), 376–377. Google Scholar | DOI
[18] 18.Rudin, W., Functional analysis, 2nd ed. (McGraw-Hill, Singapore, 1991). Google Scholar
[19] 19.Stampfli, J. G., Wadhwa, B. L., An asymmetric Putnam–Fuglede theorem for dominant operators, Indiana Univ. Math. J. 25/4 (1976), 359–365. Google Scholar | DOI
[20] 20.Stochel, J., An asymmetric Putnam-Fuglede theorem for unbounded operators, Proc. Am. Math. Soc. 129/8 (2001), 2261–2271. Google Scholar | DOI
[21] 21.Young, N., An introduction to Hilbert space (Cambridge University Press, Cambridge, 1988). Google Scholar | DOI
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