Dilworth, Steven J.; Kutzarova, Denka; Sarı, Bünyamin; Stankov, Svetozar Duals of Tirilman spaces have unique subsymmetric basic sequences. (English) Zbl 07798503 Bull. Lond. Math. Soc. 56, No. 1, 150-158 (2024). MSC: 46B15 46B03 46B06 46B10 46B25 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Bull. Lond. Math. Soc. 56, No. 1, 150--158 (2024; Zbl 07798503) Full Text: DOI arXiv OA License
Fovelle, A. Hamming graphs and concentration properties in non-quasi-reflexive Banach spaces. (English) Zbl 1528.46017 Houston J. Math. 48, No. 3, 539-579 (2022). Reviewer: Zdeněk Silber (Warszawa) MSC: 46B80 46B06 PDFBibTeX XMLCite \textit{A. Fovelle}, Houston J. Math. 48, No. 3, 539--579 (2022; Zbl 1528.46017) Full Text: arXiv Link
Argyros, Spiros A.; Georgiou, Alexandros; Manoussakis, Antonis; Motakis, Pavlos The complete separation of the two finer asymptotic \(\ell_p\) structures for \(1\leq p <\infty\). (English) Zbl 1512.46015 Forum Math. Sigma 10, Paper No. e114, 47 p. (2022). MSC: 46B06 46B03 46B25 46B45 28C15 PDFBibTeX XMLCite \textit{S. A. Argyros} et al., Forum Math. Sigma 10, Paper No. e114, 47 p. (2022; Zbl 1512.46015) Full Text: DOI arXiv
Cabello Sánchez, Félix; Ferenczi, Valentin; Randrianantoanina, Beata On Mazur rotations problem and its multidimensional versions. (English) Zbl 1502.46004 São Paulo J. Math. Sci. 16, No. 1, 406-458 (2022). Reviewer: Jan-David Hardtke (Leipzig) MSC: 46B04 46B03 46C15 46-02 PDFBibTeX XMLCite \textit{F. Cabello Sánchez} et al., São Paulo J. Math. Sci. 16, No. 1, 406--458 (2022; Zbl 1502.46004) Full Text: DOI arXiv
Baudier, Florent P.; Lancien, Gilles; Motakis, Pavlos; Schlumprecht, Thomas The geometry of Hamming-type metrics and their embeddings into Banach spaces. (English) Zbl 1493.46035 Isr. J. Math. 244, No. 2, 681-725 (2021). Reviewer: Gilles Godefroy (Paris) MSC: 46B85 46B06 54H05 PDFBibTeX XMLCite \textit{F. P. Baudier} et al., Isr. J. Math. 244, No. 2, 681--725 (2021; Zbl 1493.46035) Full Text: DOI arXiv HAL
Baudier, F.; Lancien, G.; Motakis, P.; Schlumprecht, Th. A new coarsely rigid class of Banach spaces. (English) Zbl 1476.46015 J. Inst. Math. Jussieu 20, No. 5, 1729-1747 (2021). Reviewer: Daniele Puglisi (Catania) MSC: 46B06 46B85 46T99 05C63 20F65 PDFBibTeX XMLCite \textit{F. Baudier} et al., J. Inst. Math. Jussieu 20, No. 5, 1729--1747 (2021; Zbl 1476.46015) Full Text: DOI arXiv
Morales, Daniel; Suárez de la Fuente, Jesús Some more twisted Hilbert spaces. (English) Zbl 1476.46016 Ann. Fenn. Math. 46, No. 2, 819-837 (2021). Reviewer: Jesús M. F. Castillo (Badajoz) MSC: 46B06 46B70 46M18 46B45 PDFBibTeX XMLCite \textit{D. Morales} and \textit{J. Suárez de la Fuente}, Ann. Fenn. Math. 46, No. 2, 819--837 (2021; Zbl 1476.46016) Full Text: DOI arXiv
Lechner, Richard; Motakis, Pavlos; Müller, Paul F. X.; Schlumprecht, Thomas The factorisation property of \(\ell^\infty(X_k)\). (English) Zbl 1483.46014 Math. Proc. Camb. Philos. Soc. 171, No. 2, 421-448 (2021). MSC: 46B25 46B26 47A68 30H10 PDFBibTeX XMLCite \textit{R. Lechner} et al., Math. Proc. Camb. Philos. Soc. 171, No. 2, 421--448 (2021; Zbl 1483.46014) Full Text: DOI arXiv
Krause, Cory A. Schauder bases having many good block basic sequences. (English) Zbl 1457.46018 Stud. Math. 254, No. 2, 199-218 (2020). MSC: 46B15 46B06 46B25 46B45 05D10 PDFBibTeX XMLCite \textit{C. A. Krause}, Stud. Math. 254, No. 2, 199--218 (2020; Zbl 1457.46018) Full Text: DOI arXiv
Argyros, S. A.; Georgiou, A.; Lagos, A.-R.; Motakis, Pavlos Joint spreading models and uniform approximation of bounded operators. (English) Zbl 1465.46008 Stud. Math. 253, No. 1, 57-107 (2020). Reviewer: Bentuo Zheng (Memphis) MSC: 46B03 46B06 46B25 46B28 46B45 PDFBibTeX XMLCite \textit{S. A. Argyros} et al., Stud. Math. 253, No. 1, 57--107 (2020; Zbl 1465.46008) Full Text: DOI arXiv
Argyros, Spiros A.; Georgiou, Alexandros; Motakis, Pavlos Non-asymptotic \(\ell_1\) spaces with unique \(\ell_1\) asymptotic model. (English) Zbl 1453.46011 Bull. Hell. Math. Soc. 64, 32-55 (2020). MSC: 46B06 46B03 46B25 46B45 PDFBibTeX XMLCite \textit{S. A. Argyros} et al., Bull. Hell. Math. Soc. 64, 32--55 (2020; Zbl 1453.46011) Full Text: arXiv Link
Kutzarova, Denka; Motakis, Pavlos Asymptotically symmetric spaces with hereditarily non-unique spreading models. (English) Zbl 1446.46006 Proc. Am. Math. Soc. 148, No. 4, 1697-1707 (2020). MSC: 46B06 46B03 46B25 46B45 PDFBibTeX XMLCite \textit{D. Kutzarova} and \textit{P. Motakis}, Proc. Am. Math. Soc. 148, No. 4, 1697--1707 (2020; Zbl 1446.46006) Full Text: DOI arXiv
Argyros, Spiros A.; Motakis, Pavlos On the complete separation of asymptotic structures in Banach spaces. (English) Zbl 1444.46011 Adv. Math. 362, Article ID 106962, 51 p. (2020). MSC: 46B06 46B03 46B25 46B45 PDFBibTeX XMLCite \textit{S. A. Argyros} and \textit{P. Motakis}, Adv. Math. 362, Article ID 106962, 51 p. (2020; Zbl 1444.46011) Full Text: DOI arXiv
Russo, Tommaso A note on symmetric separation in Banach spaces. (English) Zbl 1437.46018 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3649-3658 (2019). Reviewer: Jesús M. F. Castillo (Badajoz) MSC: 46B20 46B04 46B15 46B06 PDFBibTeX XMLCite \textit{T. Russo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3649--3658 (2019; Zbl 1437.46018) Full Text: DOI arXiv
Eskenazis, Alexandros; Mendel, Manor; Naor, Assaf Nonpositive curvature is not coarsely universal. (English) Zbl 1432.51014 Invent. Math. 217, No. 3, 833-886 (2019). Reviewer: Mikhail Ostrovskii (Flushing) MSC: 51F30 53C23 30L05 46B07 46B85 PDFBibTeX XMLCite \textit{A. Eskenazis} et al., Invent. Math. 217, No. 3, 833--886 (2019; Zbl 1432.51014) Full Text: DOI arXiv
Causey, Ryan M.; Draga, Szymon; Kochanek, Tomasz Operator ideals and three-space properties of asymptotic ideal seminorms. (English) Zbl 1423.46019 Trans. Am. Math. Soc. 371, No. 11, 8173-8215 (2019). MSC: 46B06 46B28 46B09 46B07 47L20 PDFBibTeX XMLCite \textit{R. M. Causey} et al., Trans. Am. Math. Soc. 371, No. 11, 8173--8215 (2019; Zbl 1423.46019) Full Text: DOI arXiv
Freeman, D.; Odell, E.; Sarı, B.; Zheng, B. On spreading sequences and asymptotic structures. (English) Zbl 1427.46006 Trans. Am. Math. Soc. 370, No. 10, 6933-6953 (2018). Reviewer: Anna Pelczar-Barwacz (Kraków) MSC: 46B06 46B03 05D10 46B15 PDFBibTeX XMLCite \textit{D. Freeman} et al., Trans. Am. Math. Soc. 370, No. 10, 6933--6953 (2018; Zbl 1427.46006) Full Text: DOI arXiv
Baudier, Florent; Causey, Ryan; Dilworth, Stephen; Kutzarova, Denka; Randrianarivony, Nirina L.; Schlumprecht, Thomas; Zhang, Sheng On the geometry of the countably branching diamond graphs. (English) Zbl 1380.46014 J. Funct. Anal. 273, No. 10, 3150-3199 (2017). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 46B80 05C12 46B06 PDFBibTeX XMLCite \textit{F. Baudier} et al., J. Funct. Anal. 273, No. 10, 3150--3199 (2017; Zbl 1380.46014) Full Text: DOI arXiv
Świȩtek, Michał An asymptotic version of the Gowers dichotomy and a new proof of Wagner theorem. (English) Zbl 1367.46012 Positivity 20, No. 3, 677-694 (2016). Reviewer: Daniel Li (Lens) MSC: 46B06 46B03 PDFBibTeX XMLCite \textit{M. Świȩtek}, Positivity 20, No. 3, 677--694 (2016; Zbl 1367.46012) Full Text: DOI
Draga, Szymon; Kochanek, Tomasz Direct sums and summability of the Szlenk index. (English) Zbl 1353.46005 J. Funct. Anal. 271, No. 3, 642-671 (2016). MSC: 46B03 46B06 PDFBibTeX XMLCite \textit{S. Draga} and \textit{T. Kochanek}, J. Funct. Anal. 271, No. 3, 642--671 (2016; Zbl 1353.46005) Full Text: DOI arXiv
Causey, Ryan M. Proximity to \(\ell_p\) and \(c_0\) in Banach spaces. (English) Zbl 1344.46007 J. Funct. Anal. 269, No. 12, 3952-4005 (2015). Reviewer: Anna Pelczar-Barwacz (Kraków) MSC: 46B03 46B25 05D10 46B45 PDFBibTeX XMLCite \textit{R. M. Causey}, J. Funct. Anal. 269, No. 12, 3952--4005 (2015; Zbl 1344.46007) Full Text: DOI arXiv
Dilworth, S. J.; Randrianantoanina, B. On an isomorphic Banach-Mazur rotation problem and maximal norms in Banach spaces. (English) Zbl 1319.46006 J. Funct. Anal. 268, No. 6, 1587-1611 (2015). Reviewer: Mohammad Sal Moslehian (Karlstad) MSC: 46B04 46B20 46B03 PDFBibTeX XMLCite \textit{S. J. Dilworth} and \textit{B. Randrianantoanina}, J. Funct. Anal. 268, No. 6, 1587--1611 (2015; Zbl 1319.46006) Full Text: DOI arXiv
Haydon, Richard; Odell, Edward; Schlumprecht, Thomas Small subspaces of \(L_p\). (English) Zbl 1234.46017 Ann. Math. (2) 173, No. 1, 169-209 (2011). Reviewer: Dirk Werner (Berlin) MSC: 46B25 46B03 46B06 PDFBibTeX XMLCite \textit{R. Haydon} et al., Ann. Math. (2) 173, No. 1, 169--209 (2011; Zbl 1234.46017) Full Text: DOI arXiv
Argyros, S. A.; Manoussakis, A.; Pelczar-Barwacz, A. On the hereditary proximity to \(\ell _{1}\). (English) Zbl 1228.46010 J. Funct. Anal. 261, No. 5, 1145-1203 (2011). Reviewer: Elói M. Galego (Sao Paulo) MSC: 46B06 46B03 PDFBibTeX XMLCite \textit{S. A. Argyros} et al., J. Funct. Anal. 261, No. 5, 1145--1203 (2011; Zbl 1228.46010) Full Text: DOI arXiv
Rosendal, Christian Infinite asymptotic games. (English) Zbl 1187.46006 Ann. Inst. Fourier 59, No. 4, 1359-1384 (2009). Reviewer: Edward W. Odell (Austin) MSC: 46B03 03E15 91A05 91A80 PDFBibTeX XMLCite \textit{C. Rosendal}, Ann. Inst. Fourier 59, No. 4, 1359--1384 (2009; Zbl 1187.46006) Full Text: DOI arXiv Numdam EuDML
Ferenczi, Valentin; Rosendal, Christian Banach spaces without minimal subspaces. (English) Zbl 1181.46004 J. Funct. Anal. 257, No. 1, 149-193 (2009). Reviewer: Edward W. Odell (Austin) MSC: 46B03 46B15 05D10 06A06 PDFBibTeX XMLCite \textit{V. Ferenczi} and \textit{C. Rosendal}, J. Funct. Anal. 257, No. 1, 149--193 (2009; Zbl 1181.46004) Full Text: DOI arXiv
Maslyuchenko, O. V.; Mykhaylyuk, V. V.; Popov, M. M. Asymptotic structure and the existence of noncompact operators between Banach spaces. (English) Zbl 1144.46008 J. Funct. Anal. 253, No. 2, 550-560 (2007). Reviewer: Eve Oja (Tartu) MSC: 46B03 46B20 46B07 46B50 47L05 PDFBibTeX XMLCite \textit{O. V. Maslyuchenko} et al., J. Funct. Anal. 253, No. 2, 550--560 (2007; Zbl 1144.46008) Full Text: DOI
Gasparis, I. Operators on \(C[0,1]\) preserving copies of asymptotic \(\ell_1\) spaces. (English) Zbl 1089.46004 Math. Ann. 333, No. 4, 831-858 (2005). Reviewer: Anatolij M. Plichko (Krakow) MSC: 46B03 06A07 03E02 PDFBibTeX XMLCite \textit{I. Gasparis}, Math. Ann. 333, No. 4, 831--858 (2005; Zbl 1089.46004) Full Text: DOI arXiv
Ferenczi, Valentin; Rosendal, Christian Ergodic Banach spaces. (English) Zbl 1082.46009 Adv. Math. 195, No. 1, 259-282 (2005). Reviewer: Daniel Li (Lens) MSC: 46B03 03E15 PDFBibTeX XMLCite \textit{V. Ferenczi} and \textit{C. Rosendal}, Adv. Math. 195, No. 1, 259--282 (2005; Zbl 1082.46009) Full Text: DOI arXiv
Argyros, S. A.; Lopez-Abad, J.; Todorcevic, S. A class of Banach spaces with few non-strictly singular operators. (English) Zbl 1086.46005 J. Funct. Anal. 222, No. 2, 306-384 (2005). Reviewer: Edward W. Odell (Austin) MSC: 46B03 46B15 03E05 46B28 03E02 PDFBibTeX XMLCite \textit{S. A. Argyros} et al., J. Funct. Anal. 222, No. 2, 306--384 (2005; Zbl 1086.46005) Full Text: DOI arXiv
Halbeisen, Lorenz; Odell, Edward On asymptotic models in Banach spaces. (English) Zbl 1064.46008 Isr. J. Math. 139, 253-291 (2004). Reviewer: Vania Mascioni (Muncie) MSC: 46B03 46B20 05D10 PDFBibTeX XMLCite \textit{L. Halbeisen} and \textit{E. Odell}, Isr. J. Math. 139, 253--291 (2004; Zbl 1064.46008) Full Text: DOI arXiv
Gasparis, I. Strictly singular non-compact operators on hereditarily indecomposable Banach spaces. (English) Zbl 1019.46006 Proc. Am. Math. Soc. 131, No. 4, 1181-1189 (2003). Reviewer: Hans Jarchow (Zürich) MSC: 46B03 03E02 06A07 PDFBibTeX XMLCite \textit{I. Gasparis}, Proc. Am. Math. Soc. 131, No. 4, 1181--1189 (2003; Zbl 1019.46006) Full Text: DOI
Odell, E.; Schlumprecht, Th. Trees and branches in Banach spaces. (English) Zbl 1023.46014 Trans. Am. Math. Soc. 354, No. 10, 4085-4108 (2002). Reviewer: Dirk Werner (Berlin) MSC: 46B03 46B20 PDFBibTeX XMLCite \textit{E. Odell} and \textit{Th. Schlumprecht}, Trans. Am. Math. Soc. 354, No. 10, 4085--4108 (2002; Zbl 1023.46014) Full Text: DOI arXiv
Wagner, Roy Finite high-order games and an inductive approach towards Gowers’s dichotomy. (English) Zbl 0994.46005 Ann. Pure Appl. Logic 111, No. 1-2, 39-60 (2001). Reviewer: David Yost (Riyadh) MSC: 46B15 46B07 46B20 PDFBibTeX XMLCite \textit{R. Wagner}, Ann. Pure Appl. Logic 111, No. 1--2, 39--60 (2001; Zbl 0994.46005) Full Text: DOI
Odell, E.; Schlumprecht, Th. A Banach space block finitely universal for monotone bases. (English) Zbl 0947.46011 Trans. Am. Math. Soc. 352, No. 4, 1859-1888 (2000). Reviewer: Silviu Crăciunaş (Sibiu) MSC: 46B15 46B20 46B03 PDFBibTeX XMLCite \textit{E. Odell} and \textit{Th. Schlumprecht}, Trans. Am. Math. Soc. 352, No. 4, 1859--1888 (2000; Zbl 0947.46011) Full Text: DOI arXiv
Androulakis, G.; Odell, E. Distorting mixed Tsirelson spaces. (English) Zbl 0940.46008 Isr. J. Math. 109, 125-149 (1999). Reviewer: S.S.Kutateladze (Novosibirsk) MSC: 46B25 PDFBibTeX XMLCite \textit{G. Androulakis} and \textit{E. Odell}, Isr. J. Math. 109, 125--149 (1999; Zbl 0940.46008) Full Text: DOI arXiv
Odell, E.; Schlumprecht, Th. Asymptotic properties of Banach spaces under renormings. (English) Zbl 0888.46006 J. Am. Math. Soc. 11, No. 1, 175-188 (1998). MSC: 46B03 46B45 46B20 PDFBibTeX XMLCite \textit{E. Odell} and \textit{Th. Schlumprecht}, J. Am. Math. Soc. 11, No. 1, 175--188 (1998; Zbl 0888.46006) Full Text: DOI arXiv
Odell, Edward; Tomczak-Jaegermann, Nicole; Wagner, Roy Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces. (English) Zbl 0890.46015 J. Funct. Anal. 150, No. 1, 101-145 (1997). Reviewer: J.R.Holub (Blacksburg) MSC: 46B25 46B15 PDFBibTeX XMLCite \textit{E. Odell} et al., J. Funct. Anal. 150, No. 1, 101--145 (1997; Zbl 0890.46015) Full Text: DOI arXiv
Wagner, R. Gowers’ dichotomy for asymptotic structure. (English) Zbl 0868.46013 Proc. Am. Math. Soc. 124, No. 10, 3089-3095 (1996). MSC: 46B20 PDFBibTeX XMLCite \textit{R. Wagner}, Proc. Am. Math. Soc. 124, No. 10, 3089--3095 (1996; Zbl 0868.46013) Full Text: DOI