Geodesic
On $GB$ and $GC$-properties of generalised ellipsoids
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 104-108

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Conditions for the set $\left\{x=\sum x_ke_k\in H: \sum\left|\frac{x_k}{a_k}\right|^{p_k}\leqslant1\right\}$ to possess $GB$ or $GC$-property are investigated. 
@article{ZNSL_1983_130_a9,
     author = {Yu. Ch. Kokayev},
     title = {On $GB$ and $GC$-properties of generalised ellipsoids},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {104--108},
     publisher = {mathdoc},
     volume = {130},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a9/}
}
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Yu. Ch. Kokayev. On $GB$ and $GC$-properties of generalised ellipsoids. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 104-108. http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a9/