Vector semi-inner products
نویسندگان
چکیده
We formalize the notion of vector semi-inner products and introduce a class seminorms which are built from these maps. The classical Pythagorean theorem parallelogram law then generalized to that have geometric mean closed lattice for codomain. In special case this codomain is square root closed, semiprime $f$-algebra, we provide sharpening triangle inequality as well condition equality.
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ژورنال
عنوان ژورنال: Involve
سال: 2022
ISSN: ['1944-4184', '1944-4176']
DOI: https://doi.org/10.2140/involve.2022.15.289