Robertson, Gavin The maximal generalised roundness of finite metric spaces. (English) Zbl 07301346 Proc. Am. Math. Soc. 149, No. 1, 407-411 (2021). MSC: 46B85 51F30 PDF BibTeX XML Cite \textit{G. Robertson}, Proc. Am. Math. Soc. 149, No. 1, 407--411 (2021; Zbl 07301346) Full Text: DOI
Bubenik, Peter; Wagner, Alexander Embeddings of persistence diagrams into Hilbert spaces. (English) Zbl 1455.55006 J. Appl. Comput. Topol. 4, No. 3, 339-351 (2020). Reviewer: Gregory C. Bell (Greensboro) MSC: 55N31 51F30 46C05 PDF BibTeX XML Cite \textit{P. Bubenik} and \textit{A. Wagner}, J. Appl. Comput. Topol. 4, No. 3, 339--351 (2020; Zbl 1455.55006) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. Eskenazis} et al., Invent. Math. 217, No. 3, 833--886 (2019; Zbl 1432.51014) Full Text: DOI
Vigolo, Federico Measure expanding actions, expanders and warped cones. (English) Zbl 1402.05205 Trans. Am. Math. Soc. 371, No. 3, 1951-1979 (2019). MSC: 05C99 37A99 46N99 22E45 PDF BibTeX XML Cite \textit{F. Vigolo}, Trans. Am. Math. Soc. 371, No. 3, 1951--1979 (2019; Zbl 1402.05205) Full Text: DOI arXiv
Cheng, Qingjin; Wang, Qin On Banach spaces with Kasparov and Yu’s property (H). (English) Zbl 1390.46024 J. Math. Anal. Appl. 457, No. 1, 200-213 (2018). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B80 46B85 PDF BibTeX XML Cite \textit{Q. Cheng} and \textit{Q. Wang}, J. Math. Anal. Appl. 457, No. 1, 200--213 (2018; Zbl 1390.46024) Full Text: DOI
Levy-Moore, Lukiel; Nichols, Margaret; Weston, Anthony Comparing the generalised roundness of metric spaces. (English) Zbl 1432.46009 Bull. Aust. Math. Soc. 95, No. 2, 299-314 (2017). Reviewer: Florent P. Baudier (College Station) MSC: 46B80 51F30 46B07 05C05 05C12 PDF BibTeX XML Cite \textit{L. Levy-Moore} et al., Bull. Aust. Math. Soc. 95, No. 2, 299--314 (2017; Zbl 1432.46009) Full Text: DOI
Doust, Ian; Sánchez, Stephen; Weston, Anthony Asymptotic negative type properties of finite ultrametric spaces. (English) Zbl 1367.46021 J. Math. Anal. Appl. 446, No. 2, 1776-1793 (2017). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 30L05 51F99 PDF BibTeX XML Cite \textit{I. Doust} et al., J. Math. Anal. Appl. 446, No. 2, 1776--1793 (2017; Zbl 1367.46021) Full Text: DOI
Sánchez, Stephen Additive combination spaces. (English) Zbl 1332.46091 Positivity 19, No. 2, 395-417 (2015). Reviewer: Florent P. Baudier (College Station) MSC: 46T99 05C12 PDF BibTeX XML Cite \textit{S. Sánchez}, Positivity 19, No. 2, 395--417 (2015; Zbl 1332.46091) Full Text: DOI
Doust, Ian; Sánchez, Stephen; Weston, Anthony A direct proof that \(\ell_\infty^{(3)}\) has generalized roundness zero. (English) Zbl 1331.46009 Expo. Math. 33, No. 2, 259-267 (2015). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B04 30L05 46B20 PDF BibTeX XML Cite \textit{I. Doust} et al., Expo. Math. 33, No. 2, 259--267 (2015; Zbl 1331.46009) Full Text: DOI arXiv
Kelleher, Casey; Miller, Daniel; Osborn, Trenton; Weston, Anthony Polygonal equalities and virtual degeneracy in \(L_p\)-spaces. (English) Zbl 1330.46025 J. Math. Anal. Appl. 415, No. 1, 247-268 (2014). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46B85 46B25 51E99 41A17 46B04 PDF BibTeX XML Cite \textit{C. Kelleher} et al., J. Math. Anal. Appl. 415, No. 1, 247--268 (2014; Zbl 1330.46025) Full Text: DOI arXiv
Dahma, A. M.; Lennard, C. J. Generalized roundness of the Schatten class, \(\mathcal C_p\). (English) Zbl 1308.46022 J. Math. Anal. Appl. 412, No. 2, 676-684 (2014). MSC: 46B20 PDF BibTeX XML Cite \textit{A. M. Dahma} and \textit{C. J. Lennard}, J. Math. Anal. Appl. 412, No. 2, 676--684 (2014; Zbl 1308.46022) Full Text: DOI
Godefroy, G.; Lancien, G.; Zizler, V. The non-linear geometry of Banach spaces after Nigel Kalton. (English) Zbl 1317.46016 Rocky Mt. J. Math. 44, No. 5, 1529-1583 (2014). Reviewer: Dirk Werner (Berlin) MSC: 46B80 46B85 46B06 46-02 PDF BibTeX XML Cite \textit{G. Godefroy} et al., Rocky Mt. J. Math. 44, No. 5, 1529--1583 (2014; Zbl 1317.46016) Full Text: DOI Euclid
Faver, Timothy; Kochalski, Katelynn; Murugan, Mathav Kishore; Verheggen, Heidi; Wesson, Elizabeth; Weston, Anthony Roundness properties of ultrametric spaces. (English) Zbl 1311.46020 Glasg. Math. J. 56, No. 3, 519-535 (2014). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 30L05 46C05 51K05 54E40 PDF BibTeX XML Cite \textit{T. Faver} et al., Glasg. Math. J. 56, No. 3, 519--535 (2014; Zbl 1311.46020) Full Text: DOI arXiv
Meckes, Mark W. Positive definite metric spaces. (English) Zbl 1284.54043 Positivity 17, No. 3, 733-757 (2013). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 54E35 51F99 28A75 49Q20 43A35 46B20 PDF BibTeX XML Cite \textit{M. W. Meckes}, Positivity 17, No. 3, 733--757 (2013; Zbl 1284.54043) Full Text: DOI arXiv
Naor, Assaf An introduction to the Ribe program. (English) Zbl 1261.46013 Jpn. J. Math. (3) 7, No. 2, 167-233 (2012). Reviewer: Dirk Werner (Berlin) MSC: 46B85 46B80 46L07 PDF BibTeX XML Cite \textit{A. Naor}, Jpn. J. Math. (3) 7, No. 2, 167--233 (2012; Zbl 1261.46013) Full Text: DOI arXiv
Caffarelli, Elena; Doust, Ian; Weston, Anthony Metric trees of generalized roundness one. (English) Zbl 1253.46029 Aequationes Math. 83, No. 3, 239-256 (2012). MSC: 46B85 54E35 PDF BibTeX XML Cite \textit{E. Caffarelli} et al., Aequationes Math. 83, No. 3, 239--256 (2012; Zbl 1253.46029) Full Text: DOI arXiv
Murugan, Mathav Kishore Supremal \(p\)-negative type of vertex transitive graphs. (English) Zbl 1239.05091 J. Math. Anal. Appl. 391, No. 2, 376-381 (2012). MSC: 05C25 PDF BibTeX XML Cite \textit{M. K. Murugan}, J. Math. Anal. Appl. 391, No. 2, 376--381 (2012; Zbl 1239.05091) Full Text: DOI arXiv
Kelleher, Casey; Miller, Daniel; Osborn, Trenton; Weston, Anthony Strongly non-embeddable metric spaces. (English) Zbl 1242.46028 Topology Appl. 159, No. 3, 749-755 (2012). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 46C05 46T99 54E35 PDF BibTeX XML Cite \textit{C. Kelleher} et al., Topology Appl. 159, No. 3, 749--755 (2012; Zbl 1242.46028) Full Text: DOI arXiv
Sánchez, Stephen On the supremal \(p\)-negative type of finite metric spaces. (English) Zbl 1236.46018 J. Math. Anal. Appl. 389, No. 1, 98-107 (2012). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 54E35 PDF BibTeX XML Cite \textit{S. Sánchez}, J. Math. Anal. Appl. 389, No. 1, 98--107 (2012; Zbl 1236.46018) Full Text: DOI
Foertsch, Thomas; Schroeder, Viktor Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality. (English) Zbl 1219.53042 Math. Ann. 350, No. 2, 339-356 (2011). Reviewer: Gheorghe Pitiş (Braşov) MSC: 53C23 PDF BibTeX XML Cite \textit{T. Foertsch} and \textit{V. Schroeder}, Math. Ann. 350, No. 2, 339--356 (2011; Zbl 1219.53042) Full Text: DOI
Li, Hanfeng; Weston, Anthony Strict \(p\)-negative type of a metric space. (English) Zbl 1213.46022 Positivity 14, No. 3, 529-545 (2010). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 PDF BibTeX XML Cite \textit{H. Li} and \textit{A. Weston}, Positivity 14, No. 3, 529--545 (2010; Zbl 1213.46022) Full Text: DOI arXiv
Weston, Anthony Optimal lower bound on the supremal strict \(p\)-negative type of a finite metric space. (English) Zbl 1184.46025 Bull. Aust. Math. Soc. 80, No. 3, 486-497 (2009). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 46B20 54E35 PDF BibTeX XML Cite \textit{A. Weston}, Bull. Aust. Math. Soc. 80, No. 3, 486--497 (2009; Zbl 1184.46025) Full Text: DOI
Galindo, Jorge On unitary representability of topological groups. (English) Zbl 1176.43004 Math. Z. 263, No. 1, 211-220 (2009). Reviewer: Mihail I. Ursul (Oradea) MSC: 43A35 46B99 22A10 54H11 54E35 PDF BibTeX XML Cite \textit{J. Galindo}, Math. Z. 263, No. 1, 211--220 (2009; Zbl 1176.43004) Full Text: DOI arXiv
Pestov, Vladimir G. A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. (English) Zbl 1152.46062 Topology Appl. 155, No. 14, 1561-1575 (2008). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46T99 54E35 05C12 51F99 PDF BibTeX XML Cite \textit{V. G. Pestov}, Topology Appl. 155, No. 14, 1561--1575 (2008; Zbl 1152.46062) Full Text: DOI arXiv
Jaudon, Ghislain Some remarks on generalized roundness. (English) Zbl 1152.20037 Geom. Dedicata 135, 23-27 (2008). Reviewer: P. D. Andreev (Arkhangelsk) MSC: 20F65 46B20 53C20 PDF BibTeX XML Cite \textit{G. Jaudon}, Geom. Dedicata 135, 23--27 (2008; Zbl 1152.20037) Full Text: DOI arXiv
Doust, Ian; Weston, Anthony Enhanced negative type for finite metric trees. (English) Zbl 1148.46012 J. Funct. Anal. 254, No. 9, 2336-2364 (2008); corrigendum ibid. 255, No. 2, 532-533 (2008). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B20 05C12 54E35 PDF BibTeX XML Cite \textit{I. Doust} and \textit{A. Weston}, J. Funct. Anal. 254, No. 9, 2336--2364 (2008; Zbl 1148.46012) Full Text: DOI arXiv
Lafont, Jean-François; Prassidis, Stratos Roundness properties of groups. (English) Zbl 1114.20023 Geom. Dedicata 117, 137-160 (2006). Reviewer: Andrzej Szczepański (Gdańsk) MSC: 20F65 57M07 46B20 20F05 53C23 PDF BibTeX XML Cite \textit{J.-F. Lafont} and \textit{S. Prassidis}, Geom. Dedicata 117, 137--160 (2006; Zbl 1114.20023) Full Text: DOI
Nowak, Piotr W. Coarse embeddings of metric spaces into Banach spaces. (English) Zbl 1074.46015 Proc. Am. Math. Soc. 133, No. 9, 2589-2596 (2005). MSC: 46C05 46T99 PDF BibTeX XML Cite \textit{P. W. Nowak}, Proc. Am. Math. Soc. 133, No. 9, 2589--2596 (2005; Zbl 1074.46015) Full Text: DOI arXiv
Ozawa, Narutaka A note on non-amenability of \({\mathcal B}(\ell_p)\) for \(p=1,2\). (English) Zbl 1056.46046 Int. J. Math. 15, No. 6, 557-565 (2004). MSC: 46H20 46B07 PDF BibTeX XML Cite \textit{N. Ozawa}, Int. J. Math. 15, No. 6, 557--565 (2004; Zbl 1056.46046) Full Text: DOI arXiv
Matoušek, Jiří; Rabinovich, Yuri On dominated \(\ell_1\) metrics. (English) Zbl 0987.46022 Isr. J. Math. 123, 285-301 (2001). Reviewer: Joe Howard (Portales/New Mexico) MSC: 46B25 PDF BibTeX XML Cite \textit{J. Matoušek} and \textit{Y. Rabinovich}, Isr. J. Math. 123, 285--301 (2001; Zbl 0987.46022) Full Text: DOI
Lennard, C.; Tonge, A.; Weston, A. Roundness and metric type. (English) Zbl 0972.46009 J. Math. Anal. Appl. 252, No. 2, 980-988 (2000). Reviewer: S.S.Kutateladze (Novosibirsk) MSC: 46B25 PDF BibTeX XML Cite \textit{C. Lennard} et al., J. Math. Anal. Appl. 252, No. 2, 980--988 (2000; Zbl 0972.46009) Full Text: DOI
Matoušek, Jiří On embedding trees into uniformly convex Banach spaces. (English) Zbl 0948.46011 Isr. J. Math. 114, 221-237 (1999). Reviewer: W.A.J.Luxemburg (Pasadena) MSC: 46B20 PDF BibTeX XML Cite \textit{J. Matoušek}, Isr. J. Math. 114, 221--237 (1999; Zbl 0948.46011) Full Text: DOI
Lindenstrauss, Joram Uniform embeddings, homeomorphisms and quotient maps between Banach spaces (a short survey). (English) Zbl 0929.46017 Topology Appl. 85, No. 1-3, 265-279 (1998). Reviewer: Silviu Crăciunaş (Sibiu) MSC: 46B20 46B25 54C25 54E15 PDF BibTeX XML Cite \textit{J. Lindenstrauss}, Topology Appl. 85, No. 1--3, 265--279 (1998; Zbl 0929.46017) Full Text: DOI arXiv
Matoušek, Jiří On embedding expanders into \(\ell_p\) spaces. (English) Zbl 0947.46007 Isr. J. Math. 102, 189-197 (1997). Reviewer: G.Gussi (Bucureşti) MSC: 46A45 PDF BibTeX XML Cite \textit{J. Matoušek}, Isr. J. Math. 102, 189--197 (1997; Zbl 0947.46007) Full Text: DOI
Megrelishvili, Michael Group representations and construction of minimal topological groups. (English) Zbl 0824.22003 Topology Appl. 62, No. 1, 1-19 (1995). Reviewer: M.G.Tkachenko (Mexico) MSC: 22A05 22B05 54H11 PDF BibTeX XML Cite \textit{M. Megrelishvili}, Topology Appl. 62, No. 1, 1--19 (1995; Zbl 0824.22003) Full Text: DOI
Odell, Edward; Schlumprecht, Thomas The distortion problem. (English) Zbl 0828.46005 Acta Math. 173, No. 2, 259-281 (1994). Reviewer: M.I.Kadets (Khar’kov) MSC: 46B03 46B20 46B25 PDF BibTeX XML Cite \textit{E. Odell} and \textit{T. Schlumprecht}, Acta Math. 173, No. 2, 259--281 (1994; Zbl 0828.46005) Full Text: DOI arXiv
Odell, E.; Schlumprecht, Th. The distortion of Hilbert space. (English) Zbl 0817.46023 Geom. Funct. Anal. 3, No. 2, 201-207 (1993). MSC: 46C05 46B20 46B03 46B42 PDF BibTeX XML Cite \textit{E. Odell} and \textit{Th. Schlumprecht}, Geom. Funct. Anal. 3, No. 2, 201--207 (1993; Zbl 0817.46023) Full Text: DOI EuDML
Aharoni, I.; Maurey, B.; Mityagin, B. S. Uniform embeddings of metric spaces and of Banach spaces into Hilbert spaces. (English) Zbl 0596.46010 Isr. J. Math. 52, 251-265 (1985). Reviewer: N.Ghoussoub MSC: 46B20 PDF BibTeX XML Cite \textit{I. Aharoni} et al., Isr. J. Math. 52, 251--265 (1985; Zbl 0596.46010) Full Text: DOI
Raynaud, Yves Espaces de Banach superstables, distances stables et homeomorphismes uniformes. (French) Zbl 0537.46023 Isr. J. Math. 44, 33-52 (1983). Reviewer: J.-Th.Lapreste MSC: 46B20 46B25 PDF BibTeX XML Cite \textit{Y. Raynaud}, Isr. J. Math. 44, 33--52 (1983; Zbl 0537.46023) Full Text: DOI
Aharoni, Israel Uniform embeddings of Banach spaces. (English) Zbl 0353.46009 Isr. J. Math. 27, 174-179 (1977). MSC: 46B99 46A45 46E30 PDF BibTeX XML Cite \textit{I. Aharoni}, Isr. J. Math. 27, 174--179 (1977; Zbl 0353.46009) Full Text: DOI
Aharoni, Israel Every separable metric space is Lipschitz equivalent to a subset of \(C_0\). (English) Zbl 0303.46012 Isr. J. Math. 19(1974), 284-291 (1975). MSC: 46A45 46B03 46E15 54E35 54E40 PDF BibTeX XML Cite \textit{I. Aharoni}, Isr. J. Math. 19, 284--291 (1975; Zbl 0303.46012) Full Text: DOI
Enflo, P. Uniform structures and square roots in topological groups. II. (English) Zbl 0214.28501 Isr. J. Math. 8, 253-272 (1970). MSC: 22A99 PDF BibTeX XML Cite \textit{P. Enflo}, Isr. J. Math. 8, 253--272 (1970; Zbl 0214.28501) Full Text: DOI