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, Sergey V.; Nilsson, Per G. A description of interpolation spaces for quasi-Banach couples by real \(K\)-method. (English) Zbl 1516.46014 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 35, 33 p. (2023). MSC: 46B70 46E30 46M35 46B42 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{P. G. Nilsson}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 35, 33 p. (2023; Zbl 1516.46014) Full Text: DOI arXiv
Astashkin, Sergey V.; Nilsson, Per G. Arazy-Cwikel property for quasi-Banach couples. (English) Zbl 1503.46015 Positivity 26, No. 4, Paper No. 72, 26 p. (2022). MSC: 46B70 46E30 46M35 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{P. G. Nilsson}, Positivity 26, No. 4, Paper No. 72, 26 p. (2022; Zbl 1503.46015) Full Text: DOI arXiv
Astashkin, Sergey V. Symmetric finite representability of \(\ell^p\)-spaces in rearrangement invariant spaces on \((0,\infty)\). (English) Zbl 1507.46010 Math. Ann. 383, No. 3-4, 1489-1520 (2022). Reviewer: Pedro Tradacete (Madrid) MSC: 46B07 46B42 47A20 PDFBibTeX XMLCite \textit{S. V. Astashkin}, Math. Ann. 383, No. 3--4, 1489--1520 (2022; Zbl 1507.46010) Full Text: DOI arXiv
Astashkin, Sergey V.; Curbera, Guillermo P. Rosenthal’s space revisited. (English) Zbl 1491.46019 Stud. Math. 262, No. 2, 197-224 (2022). MSC: 46E30 46B09 46B15 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{G. P. Curbera}, Stud. Math. 262, No. 2, 197--224 (2022; Zbl 1491.46019) Full Text: DOI arXiv
Astashkin, S. V.; Strakhov, S. I. On disjointly homogeneous Orlicz-Lorentz spaces. (English. Russian original) Zbl 1467.46026 Math. Notes 108, No. 5, 631-642 (2020); translation from Mat. Zametki 108, No. 5, 643-656 (2020). MSC: 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{S. I. Strakhov}, Math. Notes 108, No. 5, 631--642 (2020; Zbl 1467.46026); translation from Mat. Zametki 108, No. 5, 643--656 (2020) Full Text: DOI
Astashkin, S. V.; Semenov, E. M. On a property of rearrangement invariant spaces whose second Köthe dual is nonseparable. (English. Russian original) Zbl 1456.46024 Math. Notes 107, No. 1, 10-19 (2020); translation from Mat. Zametki 107, No. 1, 11-22 (2020). MSC: 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{E. M. Semenov}, Math. Notes 107, No. 1, 10--19 (2020; Zbl 1456.46024); translation from Mat. Zametki 107, No. 1, 11--22 (2020) Full Text: DOI
Astashkin, Sergeĭ V.; Semenov, Evgeniĭ M. Some properties of embeddings of rearrangement invariant spaces. (English. Russian original) Zbl 1464.46027 Sb. Math. 210, No. 10, 1361-1379 (2019); translation from Mat. Sb. 210, No. 10, 17-36 (2019). Reviewer: Humberto Rafeiro (Al Ain) MSC: 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{E. M. Semenov}, Sb. Math. 210, No. 10, 1361--1379 (2019; Zbl 1464.46027); translation from Mat. Sb. 210, No. 10, 17--36 (2019) Full Text: DOI
Astashkin, Sergey V.; Maligranda, Lech \(L_p +L_{\infty}\) and \(L_p \cap L_{\infty}\) are not isomorphic for all \(1 \leq p < \infty\), \(p \neq 2\). (English) Zbl 1395.46014 Proc. Am. Math. Soc. 146, No. 5, 2181-2194 (2018). Reviewer: Daniele Puglisi (Catania) MSC: 46B25 46E30 46B42 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{L. Maligranda}, Proc. Am. Math. Soc. 146, No. 5, 2181--2194 (2018; Zbl 1395.46014) Full Text: DOI arXiv
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. V. Disjointly homogeneous rearrangement invariant spaces via interpolation. (English) Zbl 1328.46022 J. Math. Anal. Appl. 421, No. 1, 338-361 (2015). MSC: 46E30 46B42 46B15 46B70 PDFBibTeX XMLCite \textit{S. V. Astashkin}, J. Math. Anal. Appl. 421, No. 1, 338--361 (2015; Zbl 1328.46022) Full Text: DOI arXiv
Astashkin, S. V. \({\Lambda}(p)\)-spaces. (English) Zbl 1319.46025 J. Funct. Anal. 266, No. 8, 5174-5198 (2014). Reviewer: Daniel Li (Lens) MSC: 46E30 43A46 PDFBibTeX XMLCite \textit{S. V. Astashkin}, J. Funct. Anal. 266, No. 8, 5174--5198 (2014; Zbl 1319.46025) 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. Rademacher functions in symmetric spaces. (English. Russian original) Zbl 1229.46020 J. Math. Sci., New York 169, No. 6, 725-886 (2010); translation from Sovrem. Mat. Fundam. Napravl. 32, 3-161 (2009). Reviewer: Anatolij M. Plichko (Krakow) MSC: 46E30 46B70 46B09 46B06 PDFBibTeX XMLCite \textit{S. V. Astashkin}, J. Math. Sci., New York 169, No. 6, 725--886 (2010; Zbl 1229.46020); translation from Sovrem. Mat. Fundam. Napravl. 32, 3--161 (2009) Full Text: DOI
Astashkin, S. V. Vector-valued sums of independent functions in rearrangement invariant spaces. (English. Russian original) Zbl 1270.60010 Sib. Math. J. 51, No. 4, 584-594 (2010); translation from Sib. Mat. Zh. 51, No. 4, 738-750 (2010). MSC: 60B11 46B50 60G50 PDFBibTeX XMLCite \textit{S. V. Astashkin}, Sib. Math. J. 51, No. 4, 584--594 (2010; Zbl 1270.60010); translation from Sib. Mat. Zh. 51, No. 4, 738--750 (2010) Full Text: DOI
Astashkin, Sergei V.; Maligranda, Lech Ultrasymmetric Orlicz spaces. (English) Zbl 1170.46029 J. Math. Anal. Appl. 347, No. 1, 273-285 (2008). Reviewer: Anna Kamińska (Memphis) MSC: 46E30 46B42 46B70 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{L. Maligranda}, J. Math. Anal. Appl. 347, No. 1, 273--285 (2008; Zbl 1170.46029) Full Text: DOI Link