Spatial numerical ranges of elements of Banach algebras by A. K. Gaur, T. Husain

“…Specifically, the relationship between spatial numerical ranges, numerical ranges and spectra is investigated. …”
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Spatial numerical ranges of elements of subalgebras of C0(X) by Sin-Ei Takahasi

Subjects: “…Numerical range…”
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Spatial Numerical Range of Operators on Weighted Hardy Spaces by Abdolaziz Abdollahi, Mohammad Taghi Heydari

“…We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators. …”
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Numerical Range of Two Operators in Semi-Inner Product Spaces by N. K. Sahu, C. Nahak, S. Nanda

“…In this paper, the numerical range for two operators (both linear and nonlinear) have been studied in semi-inner product spaces. …”
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Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections by Weiyan Yu, Ran Wang, Chen Zhang

“…Our goal in this article is to describe the closure of numerical range of parallel sum operator P:PQ for two orthogonal projections P and Q in BH as a closed convex hull of some explicit ellipses parameterized by points in the spectrum.…”
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On a Numerical Radius Preserving Onto Isometry on L(X) by Sun Kwang Kim

“…As a main result, when X is a complex Banach space having both uniform smoothness and uniform convexity, we show that an onto isometry T on L(X) is numerical radius preserving if and only if there exists a scalar cT of modulus 1 such that cTT is numerical range preserving. The examples of such spaces are Hilbert space and Lp spaces for 1<p<∞.…”
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A Novel Algorithm for Studying the Effects of Squeezing Flow of a Casson Fluid between Parallel Plates on Magnetic Field by Abdul-Sattar J. A. Al-Saif, Abeer Majeed Jasim

“…Comparisons between the results of the novel algorithm technique and other analytical techniques and one numerical Range-Kutta fourth-order algorithm are provided. …”
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Analysis and Research of the Planetary Ring Bevel Gear Power Split Type Continuously Variable Transmission by Gu Cunhang, Mao Huping, Wang Qiang, Shi Yuncai

“…Finally,the overall transmission efficiency of the transmission system is analyzed and calculated in detail,comparative analysis of the transmission efficiency with the original planetary rings cone continuously variable transmission is carried out by using the example. The numerical range of total input power is obtained with the power split ratio diagram. …”
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Influence of Hysteresis on the Vibration Control of a Smart Beam with a Piezoelectric Actuator by the Bouc–Wen Model by Ting Zhang

“…The vibration control effect will be improved when the hysteresis coefficient in the Bouc–Wen model, as the expected objective model of the adaptive reference model, is within a proper numerical range where the control system is stable. Furthermore, when the time delay is considered in the closed-loop control system, the principle of the hysteresis influence is different. …”
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Assessment of Environmental Hazards and Vulnerability of The Rud–E-Shur, Rud-E-Shirin and Rud-E-Minab International Wetland Using the DPSIR Model by Hengameh Safa Eisini, Saber Ghasemi, Afshin Danehkar, Mohsen Dehghani Ghanateghestani, Hossein Parvaresh

“…At the second stage, the intensity of the effect, the probability of occurrence and the sensitivity of the environment accepting the specified risks and threats are scored in five categories: very high, high, medium, low and very low (in the numerical range of 1 to 5) and finally using the method TOPSIS and TOPSIS Solver software were rated.Results: The results of the study showed that 30 risky factors including 24 human and 7 environmental origin cases; put living and existence of International Wetland into danger and risk. 5 threat indicators with human origin include population growth, human activities, excessive harvesting of ecosystem services, aquaculture, and management weakness; 2 threat indicators with environmental origin include drought and climate change have been prioritized. …”
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