Roy, Saikat; Tanaka, Ryotaro Di-orthographs of Banach spaces that are not invariant of nonlinear Birkhoff-James orthogonality preservers. (English) Zbl 07791619 J. Math. Anal. Appl. 533, No. 1, Article ID 127990, 18 p. (2024). MSC: 46B20 52Axx 47Bxx PDFBibTeX XMLCite \textit{S. Roy} and \textit{R. Tanaka}, J. Math. Anal. Appl. 533, No. 1, Article ID 127990, 18 p. (2024; Zbl 07791619) Full Text: DOI
Ball, Keith Convex geometry and its connections to harmonic analysis, functional analysis and probability theory. (English) Zbl 07822648 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3104-3139 (2023). MSC: 52A20 52A21 42B99 60F05 46B07 PDFBibTeX XMLCite \textit{K. Ball}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 4. Sections 5--8. Berlin: European Mathematical Society (EMS). 3104--3139 (2023; Zbl 07822648) Full Text: DOI OA License
Bačák, Miroslav Old and new challenges in Hadamard spaces. (English) Zbl 07751173 Jpn. J. Math. (3) 18, No. 2, 115-168 (2023). MSC: 46N10 49J53 47H20 49M27 PDFBibTeX XMLCite \textit{M. Bačák}, Jpn. J. Math. (3) 18, No. 2, 115--168 (2023; Zbl 07751173) Full Text: DOI arXiv
Martini, Horst; Mustafaev, Zokhrab Cross-section measures, radii, and Radon curves. (English) Zbl 07740714 Quaest. Math. 46, No. 9, 1925-1936 (2023). MSC: 52A20 52A21 46B20 52A40 52A10 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, Quaest. Math. 46, No. 9, 1925--1936 (2023; Zbl 07740714) Full Text: DOI
Ivanov, Sergei; Mamaev, Daniil; Nordskova, Anya Banach’s isometric subspace problem in dimension four. (English) Zbl 07724114 Invent. Math. 233, No. 3, 1393-1425 (2023). Reviewer: Tomasz Kania (Praha) MSC: 46B04 46C15 52A21 52A20 52A15 PDFBibTeX XMLCite \textit{S. Ivanov} et al., Invent. Math. 233, No. 3, 1393--1425 (2023; Zbl 07724114) Full Text: DOI arXiv
Gholipour, R.; Gabeleh, M.; Mazaheri, H. Diametrically relatively nonexpansive mappings and a characterization of proximal normal structure. (English) Zbl 07709797 Numer. Funct. Anal. Optim. 44, No. 8, 815-840 (2023). Reviewer: Andrzej Wiśnicki (Kraków) MSC: 47H09 46B20 54H25 54E40 53C70 PDFBibTeX XMLCite \textit{R. Gholipour} et al., Numer. Funct. Anal. Optim. 44, No. 8, 815--840 (2023; Zbl 07709797) Full Text: DOI
Wences, Giovanni; Delgado, Joaquín Second order derivative of a functional associated to an optimal transport map. (English) Zbl 1526.46049 Monatsh. Math. 201, No. 3, 943-959 (2023). MSC: 46N10 46G05 49J50 PDFBibTeX XMLCite \textit{G. Wences} and \textit{J. Delgado}, Monatsh. Math. 201, No. 3, 943--959 (2023; Zbl 1526.46049) Full Text: DOI
Wu, Denghui; Guo, Peilin; Bu, Zhen-Hui Sylvester-Busemann type functionals with respect to Orlicz centroid bodies. (English) Zbl 1514.52005 J. Geom. Anal. 33, No. 6, Paper No. 197, 17 p. (2023). MSC: 52A20 26B25 46B06 PDFBibTeX XMLCite \textit{D. Wu} et al., J. Geom. Anal. 33, No. 6, Paper No. 197, 17 p. (2023; Zbl 1514.52005) Full Text: DOI
Zhao, Chang-Jian Orlicz version of mixed moment tensors. (English) Zbl 1509.52009 Rev. Unión Mat. Argent. 63, No. 2, 475-488 (2022). MSC: 52A40 46E30 PDFBibTeX XMLCite \textit{C.-J. Zhao}, Rev. Unión Mat. Argent. 63, No. 2, 475--488 (2022; Zbl 1509.52009) Full Text: DOI
Alonso, Javier; Martini, Horst; Wu, Senlin Orthogonality types in normed linear spaces. (English) Zbl 1503.46009 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 97-170 (2022). Reviewer: Dirk Keppens (Gent) MSC: 46B20 46C15 51F20 52A21 PDFBibTeX XMLCite \textit{J. Alonso} et al., in: Surveys in geometry I. Cham: Springer. 97--170 (2022; Zbl 1503.46009) Full Text: DOI
Balestro, Vitor; Martini, Horst Minkowski geometry – some concepts and recent developments. (English) Zbl 1506.52001 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 49-95 (2022). Reviewer: Günter F. Steinke (Christchurch) MSC: 52-02 46B20 52A20 51-02 51B20 53A04 53A05 PDFBibTeX XMLCite \textit{V. Balestro} and \textit{H. Martini}, in: Surveys in geometry I. Cham: Springer. 49--95 (2022; Zbl 1506.52001) Full Text: DOI
Brazitikos, Silouanos; Liakopoulos, Dimitris-Marios On a version of the slicing problem for the surface area of convex bodies. (English) Zbl 1496.52005 Trans. Am. Math. Soc. 375, No. 8, 5561-5586 (2022). MSC: 52A20 46B06 52A40 52A38 52A23 PDFBibTeX XMLCite \textit{S. Brazitikos} and \textit{D.-M. Liakopoulos}, Trans. Am. Math. Soc. 375, No. 8, 5561--5586 (2022; Zbl 1496.52005) Full Text: DOI arXiv
Mustafaev, Zokhrab On minmax and maxmin inequalities for centered convex bodies. (English) Zbl 1502.52008 Math. Inequal. Appl. 25, No. 3, 903-911 (2022). Reviewer: Zsolt Lángi (Budapest) MSC: 52A21 52A40 46B20 PDFBibTeX XMLCite \textit{Z. Mustafaev}, Math. Inequal. Appl. 25, No. 3, 903--911 (2022; Zbl 1502.52008) Full Text: DOI
Gibara, Ryan; Korte, Riikka Accessible parts of the boundary for domains in metric measure spaces. (English) Zbl 1492.30119 Ann. Fenn. Math. 47, No. 2, 695-706 (2022). MSC: 30L99 46E35 26D15 PDFBibTeX XMLCite \textit{R. Gibara} and \textit{R. Korte}, Ann. Fenn. Math. 47, No. 2, 695--706 (2022; Zbl 1492.30119) Full Text: DOI arXiv
Bednov, B. B. Finite-dimensional spaces where the class of Chebyshev sets coincides with the class of closed and monotone path-connected sets. (English. Russian original) Zbl 1504.46014 Math. Notes 111, No. 4, 505-514 (2022); translation from Mat. Zametki 111, No. 4, 483-493 (2022). MSC: 46B20 41A50 PDFBibTeX XMLCite \textit{B. B. Bednov}, Math. Notes 111, No. 4, 505--514 (2022; Zbl 1504.46014); translation from Mat. Zametki 111, No. 4, 483--493 (2022) Full Text: DOI
Kurusa, Árpád; Kozma, József Quadratic hyperboloids in Minkowski geometries. (English) Zbl 1486.51004 Mediterr. J. Math. 19, No. 3, Paper No. 106, 11 p. (2022). Reviewer: Dirk Keppens (Gent) MSC: 51B20 46B20 53C70 52A20 51E15 PDFBibTeX XMLCite \textit{Á. Kurusa} and \textit{J. Kozma}, Mediterr. J. Math. 19, No. 3, Paper No. 106, 11 p. (2022; Zbl 1486.51004) Full Text: DOI
Haddad, J. A convex body associated to the Busemann random simplex inequality and the Petty conjecture. (English) Zbl 1467.52011 J. Funct. Anal. 281, No. 7, Article ID 109118, 28 p. (2021). MSC: 52A22 46E35 PDFBibTeX XMLCite \textit{J. Haddad}, J. Funct. Anal. 281, No. 7, Article ID 109118, 28 p. (2021; Zbl 1467.52011) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Some topics in differential geometry of normed spaces. (English) Zbl 1510.53013 Adv. Geom. 21, No. 1, 109-118 (2021). MSC: 53A35 46B20 53A15 53A10 52A15 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Adv. Geom. 21, No. 1, 109--118 (2021; Zbl 1510.53013) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Differential geometry of immersed surfaces in three-dimensional normed spaces. (English) Zbl 1475.53022 Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111-134 (2020). Reviewer: Parviz Ahmadi (Zanjan) MSC: 53A35 53A15 52A15 52A21 46B20 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111--134 (2020; Zbl 1475.53022) Full Text: DOI arXiv
Zhao, Chang-Jian The log-Aleksandrov-Fenchel inequality. (English) Zbl 1442.52006 Mediterr. J. Math. 17, No. 3, Paper No. 96, 14 p. (2020). MSC: 52A39 46E30 52A20 PDFBibTeX XMLCite \textit{C.-J. Zhao}, Mediterr. J. Math. 17, No. 3, Paper No. 96, 14 p. (2020; Zbl 1442.52006) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Asymmetry measures for convex distance functions. (English) Zbl 1441.52001 J. Convex Anal. 27, No. 1, 117-138 (2020). Reviewer: Suman Panwar (New Delhi) MSC: 52A10 46B20 28A12 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Convex Anal. 27, No. 1, 117--138 (2020; Zbl 1441.52001) Full Text: arXiv Link
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro A characterization of Radon planes using generalized Day-James spaces. (English) Zbl 1452.46016 Ann. Funct. Anal. 11, No. 1, 62-74 (2020). MSC: 46B20 52A21 PDFBibTeX XMLCite \textit{N. Komuro} et al., Ann. Funct. Anal. 11, No. 1, 62--74 (2020; Zbl 1452.46016) Full Text: DOI
Balestro, Vitor; Martini, Horst; Shonoda, Emad Concepts of curvatures in normed planes. (English) Zbl 1432.52001 Expo. Math. 37, No. 4, 347-381 (2019). MSC: 52A10 26B15 46B20 51M25 51N25 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., Expo. Math. 37, No. 4, 347--381 (2019; Zbl 1432.52001) Full Text: DOI arXiv
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst The inverse problem on roulettes in normed planes. (English) Zbl 1452.46012 Anal. Math. Phys. 9, No. 4, 2413-2434 (2019). MSC: 46B20 51M05 52A21 53A04 53A17 PDFBibTeX XMLCite \textit{V. Balestro} et al., Anal. Math. Phys. 9, No. 4, 2413--2434 (2019; Zbl 1452.46012) Full Text: DOI
Martini, Horst; Mustafaev, Zokhrab On inner and outer radii in Minkowski spaces. (English) Zbl 1439.46011 J. Math. Inequal. 13, No. 3, Article No. 13-39, 601-609 (2019). MSC: 46B20 52A20 52A21 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, J. Math. Inequal. 13, No. 3, Article No. 13--39, 601--609 (2019; Zbl 1439.46011) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Surface immersions in normed spaces from the affine point of view. (English) Zbl 1427.53010 Geom. Dedicata 201, 21-31 (2019). MSC: 53A35 53A15 53A10 58B20 52A15 52A21 46B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Geom. Dedicata 201, 21--31 (2019; Zbl 1427.53010) Full Text: DOI arXiv
Basso, Giuliano; Miesch, Benjamin Conical geodesic bicombings on subsets of normed vector spaces. (English) Zbl 1426.46007 Adv. Geom. 19, No. 2, 151-164 (2019). MSC: 46B20 51F99 53C22 52A07 PDFBibTeX XMLCite \textit{G. Basso} and \textit{B. Miesch}, Adv. Geom. 19, No. 2, 151--164 (2019; Zbl 1426.46007) Full Text: DOI arXiv
Zhao, Chang-Jian Inequalities for Orlicz mixed quermassintegrals. (English) Zbl 1411.52003 J. Convex Anal. 26, No. 1, 129-151 (2019). Reviewer: George Stoica (Saint John) MSC: 52A20 52A39 46E30 PDFBibTeX XMLCite \textit{C.-J. Zhao}, J. Convex Anal. 26, No. 1, 129--151 (2019; Zbl 1411.52003) Full Text: Link
Jahn, Thomas Orthogonality in generalized Minkowski spaces. (English) Zbl 1421.46016 J. Convex Anal. 26, No. 1, 49-76 (2019). Reviewer: Ljiljana Arambašić (Zagreb) MSC: 46B20 52A20 52A21 52A41 90C25 PDFBibTeX XMLCite \textit{T. Jahn}, J. Convex Anal. 26, No. 1, 49--76 (2019; Zbl 1421.46016) Full Text: arXiv Link
Lemmens, Bas; Roelands, Mark; Wortel, Marten Isometries of infinite dimensional Hilbert geometries. (English) Zbl 1431.46010 J. Topol. Anal. 10, No. 4, 941-959 (2018). MSC: 46C05 46B04 51F99 58B20 22F50 PDFBibTeX XMLCite \textit{B. Lemmens} et al., J. Topol. Anal. 10, No. 4, 941--959 (2018; Zbl 1431.46010) Full Text: DOI arXiv
Saleem, Muhammad Shoaib; Pečarić, Josip; Rehman, Nasir; Khan, Muhammad Wahab; Zahoor, Muhammad Sajid On approximation and energy estimates for delta 6-convex functions. (English) Zbl 1417.46050 J. Inequal. Appl. 2018, Paper No. 46, 9 p. (2018). MSC: 46N10 26A51 PDFBibTeX XMLCite \textit{M. S. Saleem} et al., J. Inequal. Appl. 2018, Paper No. 46, 9 p. (2018; Zbl 1417.46050) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph On Legendre curves in normed planes. (English) Zbl 1408.46017 Pac. J. Math. 297, No. 1, 1-27 (2018). MSC: 46B20 51L10 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., Pac. J. Math. 297, No. 1, 1--27 (2018; Zbl 1408.46017) Full Text: DOI arXiv
Andoni, Alexandr; Naor, Assaf; Neiman, Ofer Snowflake universality of Wasserstein spaces. (English. French summary) Zbl 1403.46020 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 3, 657-700 (2018). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 30L05 46B80 46E27 53C23 PDFBibTeX XMLCite \textit{A. Andoni} et al., Ann. Sci. Éc. Norm. Supér. (4) 51, No. 3, 657--700 (2018; Zbl 1403.46020) Full Text: arXiv Link
Zhao, Chang-Jian Orlicz dual affine quermassintegrals. (English) Zbl 1395.52010 Forum Math. 30, No. 4, 929-945 (2018). MSC: 52A30 52A40 46E30 PDFBibTeX XMLCite \textit{C.-J. Zhao}, Forum Math. 30, No. 4, 929--945 (2018; Zbl 1395.52010) Full Text: DOI
Balestro, Vitor; Shonoda, Emad On a cosine function defined for smooth normed spaces. (English) Zbl 1398.46012 J. Convex Anal. 25, No. 1, 21-39 (2018). MSC: 46B20 52A10 52A21 51B20 PDFBibTeX XMLCite \textit{V. Balestro} and \textit{E. Shonoda}, J. Convex Anal. 25, No. 1, 21--39 (2018; Zbl 1398.46012) Full Text: arXiv Link
Reem, Daniel On the computation of zone and double zone diagrams. (English) Zbl 1390.68727 Discrete Comput. Geom. 59, No. 2, 253-292 (2018). MSC: 68U05 46B20 47H10 54E35 PDFBibTeX XMLCite \textit{D. Reem}, Discrete Comput. Geom. 59, No. 2, 253--292 (2018; Zbl 1390.68727) Full Text: DOI arXiv
Obst, Martin A perimeter-based angle measure in Minkowski planes. (English) Zbl 1396.46012 Aequationes Math. 92, No. 1, 135-163 (2018). MSC: 46B20 51F99 52A21 PDFBibTeX XMLCite \textit{M. Obst}, Aequationes Math. 92, No. 1, 135--163 (2018; Zbl 1396.46012) Full Text: DOI
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst Angle measures, general rotations, and roulettes in normed planes. (English) Zbl 1388.46016 Anal. Math. Phys. 7, No. 4, 549-575 (2017). MSC: 46B20 51M05 52A21 53A17 PDFBibTeX XMLCite \textit{V. Balestro} et al., Anal. Math. Phys. 7, No. 4, 549--575 (2017; Zbl 1388.46016) Full Text: DOI arXiv
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst; Teixeira, Ralph Angles in normed spaces. (English) Zbl 1365.52006 Aequationes Math. 91, No. 2, 201-236 (2017). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 52A21 32A70 46B20 46C15 46C50 51M05 51M25 PDFBibTeX XMLCite \textit{V. Balestro} et al., Aequationes Math. 91, No. 2, 201--236 (2017; Zbl 1365.52006) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Geometric properties of a sine function extendable to arbitrary normed planes. (English) Zbl 1367.52005 Monatsh. Math. 182, No. 4, 781-800 (2017). MSC: 52A21 33B10 46B20 52A10 51M05 PDFBibTeX XMLCite \textit{V. Balestro} et al., Monatsh. Math. 182, No. 4, 781--800 (2017; Zbl 1367.52005) Full Text: DOI arXiv
Horváth, Ákos G.; Lángi, Zsolt; Spirova, Margarita Semi-inner products and the concept of semi-polarity. (English) Zbl 1367.46023 Result. Math. 71, No. 1-2, 127-144 (2017). Reviewer: V. Lokesha (Bangalore) MSC: 46C50 46B99 52A20 52A21 PDFBibTeX XMLCite \textit{Á. G. Horváth} et al., Result. Math. 71, No. 1--2, 127--144 (2017; Zbl 1367.46023) Full Text: DOI arXiv
Blumenthal, Alex; Young, Lai-Sang Entropy, volume growth and SRB measures for Banach space mappings. (English) Zbl 1366.37121 Invent. Math. 207, No. 2, 833-893 (2017). Reviewer: Daniele Puglisi (Catania) MSC: 37H15 37A05 37C40 32K05 46B09 PDFBibTeX XMLCite \textit{A. Blumenthal} and \textit{L.-S. Young}, Invent. Math. 207, No. 2, 833--893 (2017; Zbl 1366.37121) Full Text: DOI arXiv
Chasapis, Giorgos; Giannopoulos, Apostolos; Liakopoulos, Dimitris-Marios Estimates for measures of lower dimensional sections of convex bodies. (English) Zbl 1357.52006 Adv. Math. 306, 880-904 (2017). MSC: 52A23 46B06 52A40 60D05 52A20 52A22 PDFBibTeX XMLCite \textit{G. Chasapis} et al., Adv. Math. 306, 880--904 (2017; Zbl 1357.52006) Full Text: DOI arXiv
Horváth, Ákos G. Isometries of Minkowski geometries. (English) Zbl 1394.47029 Linear Algebra Appl. 512, 172-190 (2017). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 47A65 46C50 52A10 52A21 PDFBibTeX XMLCite \textit{Á. G. Horváth}, Linear Algebra Appl. 512, 172--190 (2017; Zbl 1394.47029) Full Text: DOI arXiv
Martini, Horst; Spirova, Margarita; Strambach, Karl Geometric algebra of strictly convex Minkowski planes. (English) Zbl 1320.46015 Aequationes Math. 88, No. 1-2, 49-66 (2014). MSC: 46B20 51F15 51F20 52A10 52A21 PDFBibTeX XMLCite \textit{H. Martini} et al., Aequationes Math. 88, No. 1--2, 49--66 (2014; Zbl 1320.46015) Full Text: DOI
Alonso, Javier; Martini, Horst; Spirova, Margarita Discrete geometry in Minkowski spaces. (English) Zbl 1290.52007 Bezdek, Károly (ed.) et al., Discrete geometry and optimization. Selected papers based on the presentations at the conference and workshop, Toronto, Canada, September 19–23, 2011. New York, NY: Springer (ISBN 978-3-319-00199-9/hbk; 978-3-319-00200-2/ebook). Fields Institute Communications 69, 1-15 (2013). Reviewer: A. E. Litvak (Edmonton) MSC: 52A21 52A10 52B12 52C15 52C17 52C20 46B20 90B85 PDFBibTeX XMLCite \textit{J. Alonso} et al., Fields Inst. Commun. 69, 1--15 (2013; Zbl 1290.52007) Full Text: DOI
Khamsi, M. A.; Khan, A. R. Inequalities in metric spaces with applications. (English) Zbl 1246.46012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4036-4045 (2011). Reviewer: Jarosław Górnicki (Rzeszów) MSC: 46B20 47H10 06F30 54E30 PDFBibTeX XMLCite \textit{M. A. Khamsi} and \textit{A. R. Khan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4036--4045 (2011; Zbl 1246.46012) Full Text: DOI
Spirova, Margarita Circle configurations in strictly convex normed planes. (English) Zbl 1204.52006 Adv. Geom. 10, No. 4, 631-646 (2010). MSC: 52A21 46B20 51B10 51H05 51M04 51M05 52C15 PDFBibTeX XMLCite \textit{M. Spirova}, Adv. Geom. 10, No. 4, 631--646 (2010; Zbl 1204.52006) Full Text: DOI
Li, Chong; Song, Wen; Yao, Jen-Chih The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces. (English) Zbl 1198.46012 J. Approx. Theory 162, No. 6, 1128-1149 (2010). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46B20 41A65 49J50 49J53 90C25 PDFBibTeX XMLCite \textit{C. Li} et al., J. Approx. Theory 162, No. 6, 1128--1149 (2010; Zbl 1198.46012) Full Text: DOI
Ivanov, S. V. Volumes and areas of Lipschitz metrics. (English. Russian original) Zbl 1206.53046 St. Petersbg. Math. J. 20, No. 3, 381-405 (2009); translation from Algebra Anal. 20, No. 3, 74-111 (2008). MSC: 53C23 46B07 PDFBibTeX XMLCite \textit{S. V. Ivanov}, St. Petersbg. Math. J. 20, No. 3, 381--405 (2009; Zbl 1206.53046); translation from Algebra Anal. 20, No. 3, 74--111 (2008) Full Text: DOI
Ohta, Shin-ichi Uniform convexity and smoothness, and their applications in Finsler geometry. (English) Zbl 1160.53033 Math. Ann. 343, No. 3, 669-699 (2009). Reviewer: Radu Miron (Iaşi) MSC: 53C60 46B20 58C20 PDFBibTeX XMLCite \textit{S.-i. Ohta}, Math. Ann. 343, No. 3, 669--699 (2009; Zbl 1160.53033) Full Text: DOI
Saejung, Satit Sufficient conditions for uniform normal structure of Banach spaces and their duals. (English) Zbl 1120.46008 J. Math. Anal. Appl. 330, No. 1, 597-604 (2007). Reviewer: Barry Turett (Rochester) MSC: 46B20 PDFBibTeX XMLCite \textit{S. Saejung}, J. Math. Anal. Appl. 330, No. 1, 597--604 (2007; Zbl 1120.46008) Full Text: DOI
Yaskina, M. Non-intersection bodies, all of whose central sections are intersection bodies. (English) Zbl 1114.52005 Proc. Am. Math. Soc. 135, No. 3, 851-860 (2007). Reviewer: A. E. Litvak (Edmonton) MSC: 52A20 52A21 46B20 PDFBibTeX XMLCite \textit{M. Yaskina}, Proc. Am. Math. Soc. 135, No. 3, 851--860 (2007; Zbl 1114.52005) Full Text: DOI arXiv
Bogachev, V. I.; Goldys, B. Second derivatives of convex functions in the sense of A.D.Aleksandrov on infinite-dimensional spaces with measure. (English) Zbl 1121.46061 Math. Notes 79, No. 4, 454-467 (2006); translation from Mat. Zametki 79, No. 4, 488-504 (2006). MSC: 46T20 46T12 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{B. Goldys}, Math. Notes 79, No. 4, 454--467 (2006; Zbl 1121.46061); translation from Mat. Zametki 79, No. 4, 488--504 (2006) Full Text: DOI
Van Schaftingen, Jean Anisotropic symmetrization. (English) Zbl 1133.42038 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 4, 539-565 (2006). MSC: 42B25 46E35 49J10 PDFBibTeX XMLCite \textit{J. Van Schaftingen}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 4, 539--565 (2006; Zbl 1133.42038) Full Text: DOI Numdam Numdam EuDML
Kufarev, B. P.; Nikulina, N. G. Integration over the levels of ACL-functions. (English. Russian original) Zbl 1106.26015 Math. Notes 77, No. 4, 499-502 (2005); translation from Mat. Zametki 77, No. 4, 540-543 (2005). Reviewer: Giorgi Oniani (Kutaisi) MSC: 26B30 46E35 PDFBibTeX XMLCite \textit{B. P. Kufarev} and \textit{N. G. Nikulina}, Math. Notes 77, No. 4, 499--502 (2005; Zbl 1106.26015); translation from Mat. Zametki 77, No. 4, 540--543 (2005) Full Text: DOI
Martini, H.; Swanepoel, K. J. The geometry of Minkowski spaces – a survey. II. (English) Zbl 1080.52005 Expo. Math. 22, No. 2, 93-144 (2004). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A21 46B20 52-02 52A01 PDFBibTeX XMLCite \textit{H. Martini} and \textit{K. J. Swanepoel}, Expo. Math. 22, No. 2, 93--144 (2004; Zbl 1080.52005) Full Text: DOI
Wu, Zili A Chebyshev set and its distance function. (English) Zbl 1032.46023 J. Approximation Theory 119, No. 2, 181-192 (2002). Reviewer: Daniel Wulbert (La Jolla) MSC: 46B20 41A50 41A65 PDFBibTeX XMLCite \textit{Z. Wu}, J. Approx. Theory 119, No. 2, 181--192 (2002; Zbl 1032.46023) Full Text: DOI
Okon, T. Choquet theory in metric spaces. (English) Zbl 0966.46006 Z. Anal. Anwend. 19, No. 2, 303-314 (2000). Reviewer: Yuri A.Brudnyi (Haifa) MSC: 46A55 52A07 52A30 52A40 52A41 52A55 PDFBibTeX XMLCite \textit{T. Okon}, Z. Anal. Anwend. 19, No. 2, 303--314 (2000; Zbl 0966.46006) Full Text: DOI EuDML
Kanellopoulos, Vassilis On the convexity of the weakly compact Chebyshev sets in Banach spaces. (English) Zbl 0955.46005 Isr. J. Math. 117, 61-69 (2000). Reviewer: H.-A.Braunß (Potsdam) MSC: 46B20 46B07 PDFBibTeX XMLCite \textit{V. Kanellopoulos}, Isr. J. Math. 117, 61--69 (2000; Zbl 0955.46005) Full Text: DOI
Danielli, Donatella; Garofalo, Nicola; Nhieu, Duy-Minh Trace inequalities for Carnot-Carathéodory spaces and applications. (English) Zbl 0938.46036 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 27, No. 2, 195-252 (1998). Reviewer: L.Skrzypczak (Poznań) MSC: 46E35 65H10 58J55 46N20 49Q15 PDFBibTeX XMLCite \textit{D. Danielli} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 27, No. 2, 195--252(1999) (1998; Zbl 0938.46036) Full Text: Numdam EuDML
Bernardi, Marco P.; Bondioli, Cristiana Function spaces \(W^{1,p}, BV, N^{\lambda,p}\) characterized by the motions of \({\mathbb{R}}^n\). (English) Zbl 0938.46035 Ann. Mat. Pura Appl., IV. Ser. 173, 245-278 (1997). Reviewer: H.Triebel (Jena) MSC: 46E35 PDFBibTeX XMLCite \textit{M. P. Bernardi} and \textit{C. Bondioli}, Ann. Mat. Pura Appl. (4) 173, 245--278 (1997; Zbl 0938.46035) Full Text: DOI
Goodey, P.; Lutwak, E.; Weil, W. Functional analytic characterizations of classes of convex bodies. (English) Zbl 0874.52001 Math. Z. 222, No. 3, 363-381 (1996). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A20 46A40 PDFBibTeX XMLCite \textit{P. Goodey} et al., Math. Z. 222, No. 3, 363--381 (1996; Zbl 0874.52001) Full Text: DOI EuDML
Franchi, B.; Lu, G.; Wheeden, R. L. Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. (English) Zbl 0841.46018 Potential Anal. 4, No. 4, 361-375 (1995). Reviewer: M.Biroli (Monza) MSC: 46E30 35J70 35B65 PDFBibTeX XMLCite \textit{B. Franchi} et al., Potential Anal. 4, No. 4, 361--375 (1995; Zbl 0841.46018) Full Text: DOI
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L. Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. (English) Zbl 0820.46026 Ann. Inst. Fourier 45, No. 2, 577-604 (1995). MSC: 46E35 PDFBibTeX XMLCite \textit{B. Franchi} et al., Ann. Inst. Fourier 45, No. 2, 577--604 (1995; Zbl 0820.46026) Full Text: DOI Numdam EuDML
Tolstonogov, A. A.; Goncharov, V. V. On sublinear functionals defined on the space of Bochner integrable functions. (English. Russian original) Zbl 0828.46037 Sib. Math. J. 35, No. 1, 178-188 (1994); translation from Sib. Mat. Zh. 35, No. 1, 194-206 (1994). MSC: 46E40 46E30 54C65 PDFBibTeX XMLCite \textit{A. A. Tolstonogov} and \textit{V. V. Goncharov}, Sib. Math. J. 35, No. 1, 1 (1994; Zbl 0828.46037); translation from Sib. Mat. Zh. 35, No. 1, 194--206 (1994) Full Text: DOI
Kusraev, A. G. Boolean-valued analysis and \(JB\)-algebras. (English. Russian original) Zbl 0832.46045 Sib. Math. J. 35, No. 1, 114-122 (1994); translation from Sib. Mat. Zh. 35, No. 1, 124-134 (1994). Reviewer: B.Aupetit (Quebec) MSC: 46H70 46S20 17C65 PDFBibTeX XMLCite \textit{A. G. Kusraev}, Sib. Math. J. 35, No. 1, 1 (1994; Zbl 0832.46045); translation from Sib. Mat. Zh. 35, No. 1, 124--134 (1994) Full Text: DOI
Émel’yanov, E. Yu. Nonstandard hulls of vector lattices. (English. Russian original) Zbl 0899.46072 Sib. Math. J. 35, No. 1, 77-87 (1994); translation from Sib. Mat. Zh. 35, No. 1, 83-95 (1994). Reviewer: G.Buskes (University) MSC: 46S20 46A40 PDFBibTeX XMLCite \textit{E. Yu. Émel'yanov}, Sib. Math. J. 35, No. 1, 1 (1994; Zbl 0899.46072); translation from Sib. Mat. Zh. 35, No. 1, 83--95 (1994) Full Text: DOI
Burenkov, V. I.; Senusi, A. Estimates for constants in additivity inequalities for function spaces. (English. Russian original) Zbl 0863.46024 Sib. Math. J. 35, No. 1, 21-36 (1994); translation from Sib. Mat. Zh. 35, No. 1, 24-40 (1994). Reviewer: R.Johnson (College Park) MSC: 46E35 PDFBibTeX XMLCite \textit{V. I. Burenkov} and \textit{A. Senusi}, Sib. Math. J. 35, No. 1, 1 (1994; Zbl 0863.46024); translation from Sib. Mat. Zh. 35, No. 1, 24--40 (1994) Full Text: DOI
Borwein, Jonathan M.; Noll, Dominikus Second order differentiability of convex functions in Banach spaces. (English) Zbl 0802.46027 Trans. Am. Math. Soc. 342, No. 1, 43-81 (1994). MSC: 46B22 26B25 46G05 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{D. Noll}, Trans. Am. Math. Soc. 342, No. 1, 43--81 (1994; Zbl 0802.46027) Full Text: DOI
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L. Weighted Sobolev-Poincaré inequalities for Grushin type operators. (English) Zbl 0822.46032 Commun. Partial Differ. Equations 19, No. 3-4, 523-604 (1994). Reviewer: J.Rákosník (Praha) MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{B. Franchi} et al., Commun. Partial Differ. Equations 19, No. 3--4, 523--604 (1994; Zbl 0822.46032) Full Text: DOI
Zamfirescu, Tudor Nondifferentiability properties of the nearest point mapping. (English) Zbl 0759.49006 J. Anal. Math. 54, 90-98 (1990). MSC: 49J52 46B20 52A20 54E52 PDFBibTeX XMLCite \textit{T. Zamfirescu}, J. Anal. Math. 54, 90--98 (1990; Zbl 0759.49006) Full Text: DOI
Freese, Raymond; Murphy, Grattan; Andalafte, Edward Strict convexity in M-spaces. (English) Zbl 0684.54019 J. Geom. 34, No. 1-2, 42-49 (1989). Reviewer: J.E.Martinez-Legaz MSC: 54E35 41A65 46A55 PDFBibTeX XMLCite \textit{R. Freese} et al., J. Geom. 34, No. 1--2, 42--49 (1989; Zbl 0684.54019) Full Text: DOI
Andalafte, Edward Z.; Freese, Raymond W. Characterization of inner product spaces in V- and L-spaces. (English) Zbl 0661.46018 J. Geom. 33, No. 1-2, 3-10 (1988). Reviewer: H.Yamagata MSC: 46C99 46C05 PDFBibTeX XMLCite \textit{E. Z. Andalafte} and \textit{R. W. Freese}, J. Geom. 33, No. 1--2, 3--10 (1988; Zbl 0661.46018) Full Text: DOI
Lutwak, Erwin Volume of mixed bodies. (English) Zbl 0591.52016 Trans. Am. Math. Soc. 294, 487-500 (1986). Reviewer: L.Santaló MSC: 52A40 53A15 52A20 46B20 PDFBibTeX XMLCite \textit{E. Lutwak}, Trans. Am. Math. Soc. 294, 487--500 (1986; Zbl 0591.52016) Full Text: DOI
Hetzelt, L. On suns and cosuns in finite dimensional normed real vector spaces. (English) Zbl 0592.41043 Acta Math. Hung. 45, 53-68 (1985). Reviewer: P.L.Papini MSC: 41A65 41A50 46B99 PDFBibTeX XMLCite \textit{L. Hetzelt}, Acta Math. Hung. 45, 53--68 (1985; Zbl 0592.41043) Full Text: DOI
Berens, H.; Hetzelt, L. Die Metrische Struktur der Sonnen in \(l_{\infty}(n)\). (English) Zbl 0544.41025 Aequationes Math. 27, 274-287 (1984). MSC: 41A65 41A50 46A45 PDFBibTeX XMLCite \textit{H. Berens} and \textit{L. Hetzelt}, Aequationes Math. 27, 274--287 (1984; Zbl 0544.41025) Full Text: DOI EuDML
Diminnie, Charles R.; White, Albert G. jun. 2-norms generated by seminorms on the space of bivectors. (English) Zbl 0507.46016 Math. Nachr. 106, 341-346 (1982). MSC: 46B99 46A19 PDFBibTeX XMLCite \textit{C. R. Diminnie} and \textit{A. G. White jun.}, Math. Nachr. 106, 341--346 (1982; Zbl 0507.46016) Full Text: DOI
Abatzoglou, Theagenis Finite-dimensional Banach spaces with a.e. differentiable metric projection. (English) Zbl 0475.41035 Proc. Am. Math. Soc. 78, 492-496 (1980). MSC: 41A65 41A50 46B99 PDFBibTeX XMLCite \textit{T. Abatzoglou}, Proc. Am. Math. Soc. 78, 492--496 (1980; Zbl 0475.41035) Full Text: DOI
Diminnie, Charles; Gähler, Siegfried; White, Albert Remarks on strictly convex and strictly 2-convex 2-normed spaces. (English) Zbl 0417.46022 Math. Nachr. 88, 363-372 (1979). MSC: 46B99 46C99 46A55 PDFBibTeX XMLCite \textit{C. Diminnie} et al., Math. Nachr. 88, 363--372 (1979; Zbl 0417.46022) Full Text: DOI
Diminnie, Charles; Gähler, Siegfried; White, Albert Remarks on generalizations of 2-inner products. (English) Zbl 0353.46010 Math. Nachr. 74, 269-278 (1976). MSC: 46C05 15A63 46B99 PDFBibTeX XMLCite \textit{C. Diminnie} et al., Math. Nachr. 74, 269--278 (1976; Zbl 0353.46010) Full Text: DOI
Valentine, J. E.; Wayment, S. G. Local Euclidean four-point properties which characterize inner-product spaces. (English) Zbl 0317.53060 Proc. Am. Math. Soc. 50, 337-343 (1975). MSC: 53C70 46B99 46C05 52B45 PDFBibTeX XMLCite \textit{J. E. Valentine} and \textit{S. G. Wayment}, Proc. Am. Math. Soc. 50, 337--343 (1975; Zbl 0317.53060) Full Text: DOI
Diminnie, Charles; Gähler, Siegfried; White, Albert Strictly convex linear 2-normed spaces. (English) Zbl 0311.46013 Math. Nachr. 59, 319-324 (1974). MSC: 46B99 52A05 PDFBibTeX XMLCite \textit{C. Diminnie} et al., Math. Nachr. 59, 319--324 (1974; Zbl 0311.46013) Full Text: DOI
Nash, David Representing measures and topological type of finite bordered Riemann surfaces. (English) Zbl 0283.30024 Trans. Am. Math. Soc. 192, 129-138 (1974). MSC: 30F10 46J10 30F30 PDFBibTeX XMLCite \textit{D. Nash}, Trans. Am. Math. Soc. 192, 129--138 (1974; Zbl 0283.30024) Full Text: DOI
Schäffer, Juan Jorge On the geometry of spheres in spaces of continuous functions. (English) Zbl 0271.46019 J. Anal. Math. 26, 337-389 (1973). MSC: 46B03 46E15 52A40 PDFBibTeX XMLCite \textit{J. J. Schäffer}, J. Anal. Math. 26, 337--389 (1973; Zbl 0271.46019) Full Text: DOI
Wegmann, Rjdolf Zur Stetigkeit der mengenwertige n metrischen Projektion in endlichdimensionalen Räumen. (German) Zbl 0237.46018 Manuscr. Math. 7, 375-386 (1972). MSC: 46B10 PDFBibTeX XMLCite \textit{R. Wegmann}, Manuscr. Math. 7, 375--386 (1972; Zbl 0237.46018) Full Text: DOI EuDML
Schäffer, J. J. On the geometry of spheres in L-spaces. (English) Zbl 0219.46025 Isr. J. Math. 10, 114-120 (1971). MSC: 46E30 PDFBibTeX XMLCite \textit{J. J. Schäffer}, Isr. J. Math. 10, 114--120 (1971; Zbl 0219.46025) Full Text: DOI
Harrell, R. E.; Karlovitz, L. A. Girths and flat Banach spaces. (English) Zbl 0212.14303 Bull. Am. Math. Soc. 76, 1288-1291 (1970). MSC: 46B20 PDFBibTeX XMLCite \textit{R. E. Harrell} and \textit{L. A. Karlovitz}, Bull. Am. Math. Soc. 76, 1288--1291 (1970; Zbl 0212.14303) Full Text: DOI