15 citations · 34 across the 5 of their papers we have counts for
5 papers
Lack of isomorphic embeddings of symmetric function spaces into operator ideals
Sergei Astashkin, Jinghao Huang, Fedor Sukochev
Let be a symmetric space on and be a symmetric ideal of compact operators on the Hilbert space associated with a symmetric sequence space . We gi…
Rademacher functions in Morrey spaces
Sergei V. Astashkin, Lech Maligranda
The Rademacher functions are investigated in the Morrey spaces M(p,w) on [0,1] for 1 \le p <\infty and weight w being a quasi-concave function. They span l_2 space in M(p,w) if and…
On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p
S. Astashkin, F. Sukochev, D. Zanin
Let 1\leq p<2 and let L_p=L_p[0,1] be the classical L_p-space of all (classes of) p-integrable functions on [0,1]. It is known that a sequence of independent copies of a mean zero…
Best constants in Rosenthal-type inequalities and the Kruglov operator
S. V. Astashkin, F. A. Sukochev
Let be a symmetric Banach function space on with the Kruglov property, and let , be an arbitrary sequence of independent random vari…
Tensor product in symmetric function spaces
S. V. Astashkin
A concept of multiplicator of symmetric function space concerning to projective tensor product is introduced and studied. This allows to obtain some concrete results. In particular…