Results 81 to 90 of about 489,763 (264)
The joint numerical range and the joint essential numerical range
, 2015 Let B(H) denote the algebra of bounded linear operators on a complex Hilbert space H. The (classical) numerical range of T ∈ B(H) is the set W(T) = {〈T x; x〉: x ∈ H; ‖x‖ = 1} Writing T= T_1 + iT_2 for self-adjoint T_1, T_2 ∈ B(H), W(T) can be identified with the set {(〈T_1 x, x〉,〈T_2 x, x〉) : x ∈ H, ‖x‖ = 1}.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Germ cell tumors (GCTs) often arise in the ovaries and testes (extracranial) but can also develop in the brain (intracranial). We examined the relationship of individual, family, and community‐level socioeconomic status (SES) with stage of disease at diagnosis in a cohort of pediatric patients with GCT from Children's Oncology Group
Heydon K. Kaddas +7 more
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Numerical Range of Two Operators in Semi-Inner Product Spaces
Abstract and Applied Analysis, 2012 In this paper, the numerical range for two operators (both linear and nonlinear) have been studied in semi-inner product spaces. The inclusion relations between numerical range, approximate point spectrum, compression spectrum, eigenspectrum, and ...
N. K. Sahu, C. Nahak, S. Nanda
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On some numerical characteristics of operators
Arab Journal of Mathematical Sciences, 2015 We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert ...
M. Gürdal +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
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On the geometry of numerical ranges [PDF]
Pacific Journal of Mathematics, 1975 Radjabalipour, Mehdi, Radjavi, Heydar
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Numerical ranges as circular discs
Applied Mathematics Letters, 2011 For a finite matrix \(A\) of the form \(\begin{pmatrix} aI& B \\ 0 &C\end{pmatrix}\) is proved that if its numerical range \(W(A)\) is a~circular disc centered at~\(a\), then \(a\) must be an eigenvalue of~\(C\). As a~consequence, the author shows, for any finite matrix~\(A\), that: (a)~if \(\partial W(A)\) contains a~circular disc, then its center is ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior +11 more
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Natural Killer Cells in Paediatric Soft Tissue Sarcomas: A Systematic Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Paediatric soft tissue sarcomas (pSTS) are a rare and heterogeneous group of malignant tumours arising in tissues of mesenchymal origin. The role of natural killer (NK) cells in pSTS remains poorly understood, with evidence fragmented across small preclinical studies and early‐phase clinical trials.
Raya Dean +7 more
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Spatial Numerical Range of Operators on Weighted Hardy Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators.
Abdolaziz Abdollahi +1 more
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