On some formulas for the index of linear bounded operator
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2009), pp. 3-9
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We consider the linear bounded operator in infinite dimensional separable Hilbert space satisfying some conditions. We prove formulas that can be used to calculate the index of this operator.
Keywords:
operator, index, trace, absolute norm.
@article{UZERU_2009_3_a0,
author = {I. G. Khachatryan},
title = {On some formulas for the index of linear bounded operator},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {3--9},
publisher = {mathdoc},
number = {3},
year = {2009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2009_3_a0/}
}
TY - JOUR AU - I. G. Khachatryan TI - On some formulas for the index of linear bounded operator JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2009 SP - 3 EP - 9 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2009_3_a0/ LA - en ID - UZERU_2009_3_a0 ER -
I. G. Khachatryan. On some formulas for the index of linear bounded operator. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2009), pp. 3-9. http://geodesic.mathdoc.fr/item/UZERU_2009_3_a0/