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    Trapezoid Orthogonality in Complex Normed Linear Spaces by Zheng Li, Tie Zhang, Changjun Li

    Published 2025-04-01
    “…The special case <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>G</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo>)</mo></mrow><mo>=</mo><mn>0</mn><mo>,</mo><mo>∀</mo><mi>z</mi><mo>∈</mo><mi mathvariant="script">X</mi></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">X</mi></semantics></math></inline-formula> is a real normed linear space, coincides with the trapezoid orthogonality (T-orthogonality), which was originally proposed by Alsina et al. in 1999. …”
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    Notes on Cauchy–Stieltjes Kernel Families by Shokrya S. Alshqaq, Raouf Fakhfakh, Fatimah Alshahrani

    Published 2025-03-01
    “…Denote by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">P</mi></semantics></math></inline-formula> the set of (non-degenerate) real probabilities. …”
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