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
Casazza, Peter G.; Dilworth, Stephen J.; Kutzarova, Denka; Motakis, Pavlos New characterizations of the unit vector basis of \(c_0\) or \(\ell_p\). (English) Zbl 07761165 Can. Math. Bull. 66, No. 4, 1073-1083 (2023). Reviewer: Zdeněk Silber (Warszawa) MSC: 46B15 46B03 46B06 46B10 46B25 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Can. Math. Bull. 66, No. 4, 1073--1083 (2023; Zbl 07761165) Full Text: DOI arXiv OA License
Causey, Ryan M.; Dilworth, Stephen J. Higher projective tensor products of \(c_0\). (English) Zbl 1508.46005 Stud. Math. 267, No. 1, 59-107 (2022). Reviewer: Henrik Wirzenius (Helsinki) MSC: 46B03 46B28 46M05 PDFBibTeX XMLCite \textit{R. M. Causey} and \textit{S. J. Dilworth}, Stud. Math. 267, No. 1, 59--107 (2022; Zbl 1508.46005) Full Text: DOI arXiv
Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka A dichotomy for subsymmetric basic sequences with applications to Garling spaces. (English) Zbl 1470.46019 Trans. Am. Math. Soc. 374, No. 3, 2079-2106 (2021). MSC: 46B15 46B45 PDFBibTeX XMLCite \textit{F. Albiac} et al., Trans. Am. Math. Soc. 374, No. 3, 2079--2106 (2021; Zbl 1470.46019) Full Text: DOI arXiv
Dilworth, S.; Garrigós, G.; Hernández, E.; Kutzarova, D.; Temlyakov, V. Lebesgue-type inequalities in greedy approximation. (English) Zbl 1458.41010 J. Funct. Anal. 280, No. 5, Article ID 108885, 38 p. (2021). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 41A25 41A46 46B15 46B20 65D15 PDFBibTeX XMLCite \textit{S. Dilworth} et al., J. Funct. Anal. 280, No. 5, Article ID 108885, 38 p. (2021; Zbl 1458.41010) Full Text: DOI arXiv
Albiac, Fernando; Ansorena, José Luis; Dilworth, Stephen J.; Kutzarova, Denka Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases. (English) Zbl 1459.46025 Stud. Math. 251, No. 3, 277-288 (2020). MSC: 46B45 46B25 46B15 46B10 46B07 41A65 PDFBibTeX XMLCite \textit{F. Albiac} et al., Stud. Math. 251, No. 3, 277--288 (2020; Zbl 1459.46025) Full Text: DOI arXiv
Dilworth, Stephen J.; Khurana, Divya Characterizations of almost greedy and partially greedy bases. (English) Zbl 1457.46016 Jaen J. Approx. 11, No. 1-2, 115-137 (2019). MSC: 46B15 41A65 PDFBibTeX XMLCite \textit{S. J. Dilworth} and \textit{D. Khurana}, Jaen J. Approx. 11, No. 1--2, 115--137 (2019; Zbl 1457.46016) Full Text: arXiv Link
Berná, P. M.; Dilworth, S. J.; Kutzarova, D.; Oikhberg, T.; Wallis, B. The weighted property (A) and the greedy algorithm. (English) Zbl 1440.46011 J. Approx. Theory 248, Article ID 105300, 18 p. (2019). MSC: 46B15 41A65 PDFBibTeX XMLCite \textit{P. M. Berná} et al., J. Approx. Theory 248, Article ID 105300, 18 p. (2019; Zbl 1440.46011) Full Text: DOI arXiv
Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka Building highly conditional almost greedy and quasi-greedy bases in Banach spaces. (English) Zbl 1420.46011 J. Funct. Anal. 276, No. 6, 1893-1924 (2019). Reviewer: Mikhail M. Popov (Slupsk) MSC: 46B15 41A65 PDFBibTeX XMLCite \textit{F. Albiac} et al., J. Funct. Anal. 276, No. 6, 1893--1924 (2019; Zbl 1420.46011) Full Text: DOI arXiv
Dilworth, S. J.; Kutzarova, Denka; Temlyakov, Vladimir; Wallis, Ben Weight-almost greedy bases. (English, Russian) Zbl 1419.46013 Proc. Steklov Inst. Math. 303, 109-128 (2018); translation in Tr. Mat. Inst. Steklova 303, xx (2018). MSC: 46B15 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Proc. Steklov Inst. Math. 303, 109--128 (2018; Zbl 1419.46013); translation in Tr. Mat. Inst. Steklova 303, xx (2018) Full Text: DOI arXiv
Dilworth, S. J.; Gogyan, S.; Kutzarova, Denka; Schlumprecht, Th. On the boundedness of threshold operators in \(L_1[0,1]\) with respect to the Haar basis. (English) Zbl 1372.46014 Positivity 21, No. 1, 157-176 (2017). Reviewer: Daniele Puglisi (Catania) MSC: 46B15 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Positivity 21, No. 1, 157--176 (2017; Zbl 1372.46014) Full Text: DOI arXiv
Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka Banach spaces with a unique greedy basis. (English) Zbl 1356.46011 J. Approx. Theory 210, 80-102 (2016). Reviewer: Vladimir Kadets (Kharkiv) MSC: 46B15 46B45 PDFBibTeX XMLCite \textit{F. Albiac} et al., J. Approx. Theory 210, 80--102 (2016; Zbl 1356.46011) Full Text: DOI
Causey, R. M.; Dilworth, S. J. Almost isometric constants for partial unconditionality. (English) Zbl 1353.46009 Proc. Am. Math. Soc. 144, No. 8, 3397-3404 (2016). MSC: 46B15 41A65 PDFBibTeX XMLCite \textit{R. M. Causey} and \textit{S. J. Dilworth}, Proc. Am. Math. Soc. 144, No. 8, 3397--3404 (2016; Zbl 1353.46009) Full Text: DOI arXiv
Dilworth, S. J.; Kutzarova, D.; Oikhberg, T. Lebesgue constants for the weak greedy algorithm. (English) Zbl 1336.46015 Rev. Mat. Complut. 28, No. 2, 393-409 (2015). MSC: 46B15 41A30 41A65 46A35 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Rev. Mat. Complut. 28, No. 2, 393--409 (2015; Zbl 1336.46015) Full Text: DOI
Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka Existence and uniqueness of greedy bases in Banach spaces. arXiv:1505.08119 Preprint, arXiv:1505.08119 [math.FA] (2015). MSC: 46B15 46B45 BibTeX Cite \textit{F. Albiac} et al., ``Existence and uniqueness of greedy bases in Banach spaces'', Preprint, arXiv:1505.08119 [math.FA] (2015) Full Text: arXiv OA License
Dilworth, S. J.; Gogyan, S.; Kutzarova, Denka On the convergence of a weak greedy algorithm for the multivariate Haar basis. (English) Zbl 1308.41033 Constr. Approx. 39, No. 2, 343-366 (2014). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 42A10 42C40 46B15 46B20 46E30 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Constr. Approx. 39, No. 2, 343--366 (2014; Zbl 1308.41033) Full Text: DOI arXiv
Dilworth, S. J.; Kutzarova, Denka; Schlumprecht, Th.; Wojtaszczyk, P. Weak thresholding greedy algorithms in Banach spaces. (English) Zbl 1267.46026 J. Funct. Anal. 263, No. 12, 3900-3921 (2012). Reviewer: Vladimir Kadets (Kharkov) MSC: 46B15 41A65 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., J. Funct. Anal. 263, No. 12, 3900--3921 (2012; Zbl 1267.46026) Full Text: DOI
Dilworth, S. J.; Freeman, D.; Odell, E.; Schlumprecht, T. Greedy bases for Besov spaces. (English) Zbl 1234.46010 Constr. Approx. 34, No. 2, 281-296 (2011). Reviewer: Dirk Werner (Berlin) MSC: 46B15 41A65 46E35 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Constr. Approx. 34, No. 2, 281--296 (2011; Zbl 1234.46010) Full Text: DOI arXiv
Androulakis, George; Dilworth, Stephen J.; Kalton, Nigel J. A new approach to the Ramsey-type games and the Gowers dichotomy in \(F\)-spaces. (English) Zbl 1274.46003 Combinatorica 30, No. 4, 359-385 (2010). MSC: 46A16 46B15 91A05 91A80 PDFBibTeX XMLCite \textit{G. Androulakis} et al., Combinatorica 30, No. 4, 359--385 (2010; Zbl 1274.46003) Full Text: DOI arXiv
Dilworth, S. J; Odell, E.; Schlumprecht, Th; Zsák, A. Partial unconditionality. (English) Zbl 1194.46019 Houston J. Math. 35, No. 4, 1251-1311 (2009). Reviewer: Daniel Li (Lens) MSC: 46B15 05D10 PDFBibTeX XMLCite \textit{S. J Dilworth} et al., Houston J. Math. 35, No. 4, 1251--1311 (2009; Zbl 1194.46019) Full Text: arXiv Link
Casazza, P. G.; Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A. Coefficient quantization for frames in Banach spaces. (English) Zbl 1159.46008 J. Math. Anal. Appl. 348, No. 1, 66-86 (2008). Reviewer: Gustaf Gripenberg (Hut) MSC: 46B15 42C99 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., J. Math. Anal. Appl. 348, No. 1, 66--86 (2008; Zbl 1159.46008) Full Text: DOI arXiv
Dilworth, S. J.; Odell, E.; Sari, B. Lattice structures and spreading models. (English) Zbl 1148.46011 Isr. J. Math. 161, 387-411 (2007). MSC: 46B15 46B03 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Isr. J. Math. 161, 387--411 (2007; Zbl 1148.46011) Full Text: DOI arXiv
Dilworth, S. J.; Ferenczi, V.; Kutzarova, Denka; Odell, E. On strongly asymptotic \(\ell_{p}\) spaces and minimality. (English) Zbl 1139.46013 J. Lond. Math. Soc., II. Ser. 75, No. 2, 409-419 (2007). Reviewer: Elói M. Galego (Sao Paulo) MSC: 46B15 46B03 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., J. Lond. Math. Soc., II. Ser. 75, No. 2, 409--419 (2007; Zbl 1139.46013) Full Text: DOI arXiv
Dilworth, Stephen J.; Hoffmann, Mark; Kutzarova, Denka N. Non-equivalent greedy and almost greedy bases in \(\ell_p\). (English) Zbl 1167.46308 J. Funct. Spaces Appl. 4, No. 1, 25-42 (2006). MSC: 46B15 42C15 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., J. Funct. Spaces Appl. 4, No. 1, 25--42 (2006; Zbl 1167.46308) Full Text: DOI
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka On the existence of almost greedy bases in Banach spaces. (English) Zbl 1056.46014 Stud. Math. 159, No. 1, 67-101 (2003). Reviewer: Joe Howard (Portales/New Mexico) MSC: 46B15 41A65 46B20 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Stud. Math. 159, No. 1, 67--101 (2003; Zbl 1056.46014) Full Text: DOI Link
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N. The thresholding greedy algorithm, greedy bases, and duality. (English) Zbl 1050.46011 Constructive Approximation 19, No. 4, 575-597 (2003). Reviewer: Anatolij Plichko (Krakow) MSC: 46B15 41A65 46B10 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Constr. Approx. 19, No. 4, 575--597 (2003; Zbl 1050.46011) Full Text: DOI
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka Greedy bases in Banach spaces. (English) Zbl 1177.41031 Bojanov, B.D. (ed.), Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA (ISBN 954-90126-5-4/hbk). 133-135 (2002). MSC: 41A65 46B15 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., in: Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA. 133--135 (2002; Zbl 1177.41031)
Dilworth, S. J.; Kutzarova, Denka; Wojtaszczyk, P. On approximate \(\ell_1\) systems in Banach spaces. (English) Zbl 1018.46006 J. Approximation Theory 114, No. 2, 214-241 (2002). Reviewer: T.Precupanu (Iaşi) MSC: 46B15 41A65 46B25 46B04 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., J. Approx. Theory 114, No. 2, 214--241 (2002; Zbl 1018.46006) Full Text: DOI
Dilworth, S. J. Special Banach lattices and their applications. (English) Zbl 1042.46013 Johnson, W. B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier (ISBN 0-444-82842-7/hbk). 497-532 (2001). Reviewer: William A. Feldman (Fayetteville) MSC: 46E30 46B42 46-02 PDFBibTeX XMLCite \textit{S. J. Dilworth}, in: Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier. 497--532 (2001; Zbl 1042.46013)
Dilworth, S. J.; Mitra, David A conditional quasi-greedy basis of \(\ell_1\). (English) Zbl 0974.46013 Stud. Math. 144, No. 1, 95-100 (2001). Reviewer: Jafar Zafarani (Isfahan) MSC: 46B15 PDFBibTeX XMLCite \textit{S. J. Dilworth} and \textit{D. Mitra}, Stud. Math. 144, No. 1, 95--100 (2001; Zbl 0974.46013) Full Text: DOI arXiv
Dilworth, S. J.; Girardi, Maria; Johnson, W. B. Geometry of Banach spaces and biorthogonal systems. (English) Zbl 0963.46009 Stud. Math. 140, No. 3, 243-271 (2000). Reviewer: H.König (Kiel) MSC: 46B20 46B25 46B99 46B15 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Stud. Math. 140, No. 3, 243--271 (2000; Zbl 0963.46009) Full Text: DOI arXiv EuDML
Dilworth, S. J.; Montgomery-Smith, S. J. The distribution of vector-valued Rademacher series. (English) Zbl 0798.46006 Ann. Probab. 21, No. 4, 2046-2052 (1993). MSC: 46B15 46B20 46B70 60B11 60G50 PDFBibTeX XMLCite \textit{S. J. Dilworth} and \textit{S. J. Montgomery-Smith}, Ann. Probab. 21, No. 4, 2046--2052 (1993; Zbl 0798.46006) Full Text: DOI arXiv
Dilworth, S. J.; Trautman, D. A. On two function spaces which are similar to \(L_ 0\). (English) Zbl 0713.46019 Proc. Am. Math. Soc. 108, No. 2, 451-456 (1990). Reviewer: J.B.Cooper MSC: 46E30 46B15 46A45 PDFBibTeX XMLCite \textit{S. J. Dilworth} and \textit{D. A. Trautman}, Proc. Am. Math. Soc. 108, No. 2, 451--456 (1990; Zbl 0713.46019) Full Text: DOI
Carothers, N. L.; Dilworth, S. J. Equidistributed random variables in \(L_{p,q}\). (English) Zbl 0691.46015 J. Funct. Anal. 84, No. 1, 146-159 (1989). Reviewer: F.Sukovech MSC: 46E30 46B15 PDFBibTeX XMLCite \textit{N. L. Carothers} and \textit{S. J. Dilworth}, J. Funct. Anal. 84, No. 1, 146--159 (1989; Zbl 0691.46015) Full Text: DOI
Dilworth, S. J. Intersection of Lebesgue spaces \(L_ 1\) and \(L_ 2\). (English) Zbl 0661.46015 Proc. Am. Math. Soc. 103, No. 4, 1185-1188 (1988). Reviewer: J.R.Holub MSC: 46B25 46E30 46B15 46B20 PDFBibTeX XMLCite \textit{S. J. Dilworth}, Proc. Am. Math. Soc. 103, No. 4, 1185--1188 (1988; Zbl 0661.46015) Full Text: DOI