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A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA)
Bracic, J. & Diogo, C. (2015). Relative numerical ranges. Linear Algebra and its Applications. 485, 208-221
Exportar Referência (IEEE)
J. Bracic and C. I. Diogo,  "Relative numerical ranges", in Linear Algebra and its Applications, vol. 485, pp. 208-221, 2015
Exportar BibTeX
@article{bracic2015_1714274372044,
	author = "Bracic, J. and Diogo, C.",
	title = "Relative numerical ranges",
	journal = "Linear Algebra and its Applications",
	year = "2015",
	volume = "485",
	number = "",
	doi = "10.1016/j.laa.2015.07.037",
	pages = "208-221",
	url = "http://www.sciencedirect.com/science/article/pii/S0024379515004516"
}
Exportar RIS
TY  - JOUR
TI  - Relative numerical ranges
T2  - Linear Algebra and its Applications
VL  - 485
AU  - Bracic, J.
AU  - Diogo, C.
PY  - 2015
SP  - 208-221
SN  - 0024-3795
DO  - 10.1016/j.laa.2015.07.037
UR  - http://www.sciencedirect.com/science/article/pii/S0024379515004516
AB  - Relying on the ideas of Stampfli [14] and Magajna [12] we introduce, for operators S and T on a separable complex Hilbert space, a new notion called the numerical range of S relative to T at r is an element of sigma(vertical bar T vertical bar). Some properties of these numerical ranges are proved. In particular, it is shown that the relative numerical ranges are non-empty convex subsets of the closure of the ordinary numerical range of S. We show that the position of zero with respect to the relative numerical range of S relative to T at parallel to T parallel to gives an information about the distance between the involved operators. This result has many interesting corollaries. For instance, one can characterize those complex numbers which are in the closure of the numerical range of S but are not in the spectrum of S. 
ER  -