Astashkin, Sergey V.; Cwikel, Michael; Nilsson, Per G. Arazy-Cwikel and Calderón-Mityagin type properties of the couples \((\ell^p, \ell^q)\), \(0 \leq p<q \leq \infty\). (English) Zbl 1526.46013 Ann. Mat. Pura Appl. (4) 202, No. 4, 1643-1678 (2023). MSC: 46B70 46E30 46M35 46A45 PDFBibTeX XMLCite \textit{S. V. Astashkin} et al., Ann. Mat. Pura Appl. (4) 202, No. 4, 1643--1678 (2023; Zbl 1526.46013) Full Text: DOI
Astashkin, Sergey V. The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\). (English) Zbl 1520.46012 Math. Z. 303, No. 4, Paper No. 91, 24 p. (2023). MSC: 46E30 46B03 46B09 46A45 PDFBibTeX XMLCite \textit{S. V. Astashkin}, Math. Z. 303, No. 4, Paper No. 91, 24 p. (2023; Zbl 1520.46012) Full Text: DOI arXiv
Astashkin, S. V. Spectral properties of the dilation operator in rearrangement invariant spaces of fundamental type. (English. Russian original) Zbl 1522.47025 Sib. Math. J. 64, No. 1, 1-12 (2023); translation from Sib. Mat. Zh. 64, No. 1, 3-16 (2023). MSC: 47A20 47B37 47A10 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin}, Sib. Math. J. 64, No. 1, 1--12 (2023; Zbl 1522.47025); translation from Sib. Mat. Zh. 64, No. 1, 3--16 (2023) Full Text: DOI
Astashkin, S. V.; Terekhin, P. A. On quasibases and bases of symmetric spaces consisting of nonnegative functions. (English. Russian original) Zbl 1517.46010 Proc. Steklov Inst. Math. 319, 13-21 (2022); translation from Tr. Mat. Inst. Steklova 319, 20-28 (2022). MSC: 46B15 46E30 46B42 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{P. A. Terekhin}, Proc. Steklov Inst. Math. 319, 13--21 (2022; Zbl 1517.46010); translation from Tr. Mat. Inst. Steklova 319, 20--28 (2022) Full Text: DOI
Astashkin, S.; Sukochev, F.; Zanin, D. The distribution of a random variable whose independent copies span \(\ell_M\) is unique. (English) Zbl 1505.46027 Rev. Mat. Complut. 35, No. 3, 815-834 (2022). MSC: 46E30 46B09 PDFBibTeX XMLCite \textit{S. Astashkin} et al., Rev. Mat. Complut. 35, No. 3, 815--834 (2022; Zbl 1505.46027) Full Text: DOI
Astashkin, Sergey V.; Terekhin, Pavel A. Sequences of dilations and translations equivalent to the Haar system in \(L^p\)-spaces. (English) Zbl 1492.46007 J. Approx. Theory 274, Article ID 105672, 28 p. (2022). Reviewer: Mikhail M. Popov (Slupsk) MSC: 46B15 46E30 46E15 46E20 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{P. A. Terekhin}, J. Approx. Theory 274, Article ID 105672, 28 p. (2022; Zbl 1492.46007) Full Text: DOI arXiv
Astashkin, Sergey; Milman, Mario Extrapolation: stories and problems. (English) Zbl 1486.46023 Pure Appl. Funct. Anal. 6, No. 3, 651-707 (2021). MSC: 46B70 46B42 46M35 46E30 46E05 46B45 46L52 47B10 PDFBibTeX XMLCite \textit{S. Astashkin} and \textit{M. Milman}, Pure Appl. Funct. Anal. 6, No. 3, 651--707 (2021; Zbl 1486.46023) Full Text: arXiv Link
Astashkin, Sergeĭ Vladimirovich Symmetric finite representability of \(\ell^p\) in Orlicz spaces. (English) Zbl 1507.46009 Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 4, 15-24 (2020). Reviewer: Pedro Tradacete (Madrid) MSC: 46B07 46B45 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 26, No. 4, 15--24 (2020; Zbl 1507.46009) Full Text: DOI MNR
Astashkin, Sergey V.; Terekhin, Pavel A. Representing systems of dilations and translations in symmetric function spaces. (English) Zbl 1446.46011 J. Fourier Anal. Appl. 26, No. 1, Paper No. 13, 22 p. (2020). MSC: 46E30 46B70 42C15 46B15 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{P. A. Terekhin}, J. Fourier Anal. Appl. 26, No. 1, Paper No. 13, 22 p. (2020; Zbl 1446.46011) Full Text: DOI arXiv
Astashkin, Sergey V.; Terekhin, Pavel A. Sequences of dilations and translations in function spaces. (English) Zbl 1381.47007 J. Math. Anal. Appl. 457, No. 1, 645-671 (2018). MSC: 47A20 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{P. A. Terekhin}, J. Math. Anal. Appl. 457, No. 1, 645--671 (2018; Zbl 1381.47007) Full Text: DOI
Astashkin, S. V.; Lykov, K. V. Sparse Rademacher chaos in symmetric spaces. (English. Russian original) Zbl 1368.46014 St. Petersbg. Math. J. 28, No. 1, 1-20 (2017); translation from Algebra Anal. 28, No. 1, 3-31 (2016). MSC: 46B09 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{K. V. Lykov}, St. Petersbg. Math. J. 28, No. 1, 1--20 (2017; Zbl 1368.46014); translation from Algebra Anal. 28, No. 1, 3--31 (2016) Full Text: DOI
Astashkin, Sergey On symmetric spaces containing isomorphic copies of Orlicz sequence spaces. (English) Zbl 1416.46029 Commentat. Math. 56, No. 1, 29-44 (2016). MSC: 46E30 46B20 46B09 PDFBibTeX XMLCite \textit{S. Astashkin}, Commentat. Math. 56, No. 1, 29--44 (2016; Zbl 1416.46029) Full Text: DOI
Astashkin, S. V.; Sukochev, F. A. Randomized operators on \({n\times n}\) matrices and applications. (English) Zbl 1397.46023 Integral Equations Oper. Theory 86, No. 3, 333-358 (2016). Reviewer: Joscha Prochno (Hull) MSC: 46E30 46B42 46B09 46B45 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, Integral Equations Oper. Theory 86, No. 3, 333--358 (2016; Zbl 1397.46023) Full Text: DOI
Astashkin, S.; Sukochev, F.; Zanin, D. On uniqueness of distribution of a random variable whose independent copies span a subspace in \(L_p\). (English) Zbl 1345.46020 Stud. Math. 230, No. 1, 41-57 (2015). MSC: 46E30 46B09 46B25 PDFBibTeX XMLCite \textit{S. Astashkin} et al., Stud. Math. 230, No. 1, 41--57 (2015; Zbl 1345.46020) Full Text: DOI arXiv
Astashkin, S. V.; Sukochev, F. A. Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces. (English) Zbl 1325.46031 J. Math. Anal. Appl. 413, No. 1, 1-19 (2014). MSC: 46E30 46B45 60E05 46B70 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, J. Math. Anal. Appl. 413, No. 1, 1--19 (2014; Zbl 1325.46031) Full Text: DOI
Astashkin, S. V.; Semenov, E. M. Spaces defined by the Paley function. (English) Zbl 1287.46021 Sb. Math. 204, No. 7, 937-957 (2013); translation from Mat. Sb. 204, No. 7, 3-24 (2013). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46E30 46B42 46A45 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{E. M. Semenov}, Sb. Math. 204, No. 7, 937--957 (2013; Zbl 1287.46021); translation from Mat. Sb. 204, No. 7, 3--24 (2013) Full Text: DOI
Astashkin, S. V.; Tikhomirov, K. E. A probabilistic version of Rosenthal’s inequality. (English) Zbl 1287.46022 Proc. Am. Math. Soc. 141, No. 10, 3539-3547 (2013). MSC: 46E30 46B09 46B45 60E15 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{K. E. Tikhomirov}, Proc. Am. Math. Soc. 141, No. 10, 3539--3547 (2013; Zbl 1287.46022) Full Text: DOI
Astashkin, Sergei V.; Maligranda, Lech Structure of Cesàro function spaces. (English) Zbl 1200.46027 Indag. Math., New Ser. 20, No. 3, 329-379 (2009). Reviewer: Anna Kamińska (Memphis) MSC: 46E30 46B20 46B42 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{L. Maligranda}, Indag. Math., New Ser. 20, No. 3, 329--379 (2009; Zbl 1200.46027) Full Text: DOI
Astashkin, S. V.; Sukochev, F. A. Sequences of independent identically distributed functions in rearrangement invariant spaces. (English) Zbl 1144.46025 Hudzik, Henryk (ed.) et al., Function spaces VIII. Proceedings of the 8th conference on function spaces, Bȩdlewo, Poland, July 3–7, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 79, 27-37 (2008). MSC: 46E30 60G50 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, Banach Cent. Publ. 79, 27--37 (2008; Zbl 1144.46025) Full Text: Link
Astashkin, S. V. Description of the interpolation spaces between \((\ell_ 1(\omega^ 0),\ell_ 1(\omega^ 1))\) and \((\ell_{\infty}(\omega^ 0),\ell_{\infty}(\omega^ 1))\). (English. Russian original) Zbl 0549.46037 Math. Notes 35, 261-265 (1984); translation from Mat. Zametki 35, No. 4, 497-503 (1984). Reviewer: A.V.Bukhvalov MSC: 46M35 46A45 PDFBibTeX XMLCite \textit{S. V. Astashkin}, Math. Notes 35, 261--265 (1984; Zbl 0549.46037); translation from Mat. Zametki 35, No. 4, 497--503 (1984) Full Text: DOI