INVERTIBILITY AND SPECTRA OF OPERATORS ON TENSOR PRODUCTS OF HILBERT SPACES
Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 101-116
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A class of operators on a tensor product of separable Hilbert spaces is considered. It contains various traditional operators. Invertibility, positive invertibility conditions and estimates for the norm of the resolvents are established. In addition, bounds for the spectrum are suggested. Applications to partial integral and integro-differential operators are discussed.
GIL', M. I. INVERTIBILITY AND SPECTRA OF OPERATORS ON TENSOR PRODUCTS OF HILBERT SPACES. Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 101-116. doi: 10.1017/S0017089503001575
@article{10_1017_S0017089503001575,
author = {GIL', M. I.},
title = {INVERTIBILITY {AND} {SPECTRA} {OF} {OPERATORS} {ON} {TENSOR} {PRODUCTS} {OF} {HILBERT} {SPACES}},
journal = {Glasgow mathematical journal},
pages = {101--116},
year = {2004},
volume = {46},
number = {1},
doi = {10.1017/S0017089503001575},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001575/}
}
TY - JOUR AU - GIL', M. I. TI - INVERTIBILITY AND SPECTRA OF OPERATORS ON TENSOR PRODUCTS OF HILBERT SPACES JO - Glasgow mathematical journal PY - 2004 SP - 101 EP - 116 VL - 46 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001575/ DO - 10.1017/S0017089503001575 ID - 10_1017_S0017089503001575 ER -
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