Geodesic
How the distance between subspaces in the metric of a spherical opening affects the geometric structure of a symmetric space
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 28 (2022) no. 1-2, pp. 23-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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A relationship is found between the metric of a spherical opening on the space of all subspaces of a symmetric space and some numerical characteristic of the subspace. It is known that, for example, in $L_1$ this characteristic takes only two values (i.e. this is a binary space), while in $L_2$ there are infinitely many values. Using the connection found, the necessary conditions for the binarity of a symmetric space were generalized.
Keywords: symmetric space, Orlicz space, spherical opening between subspaces, disjoint functions, independent functions, strongly embedded subspace. 
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S. I. Strakhov. How the distance between subspaces in the metric of a spherical opening affects the geometric structure of a symmetric space. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 28 (2022) no. 1-2, pp. 23-31. http://geodesic.mathdoc.fr/item/VSGU_2022_28_1-2_a1/

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