Muñiz-Pérez, Omar Convexity conditions of \(\psi \)-direct sums. (English) Zbl 1476.46022 J. Nonlinear Convex Anal. 21, No. 3, 639-653 (2020). MSC: 46B20 × Cite Format Result Cite Review PDF Full Text: Link
Tamura, Takayuki On Dominguez-Benavides coefficient of {\(\psi\)}-direct sums \((X_1\oplus \cdots \oplus X_N)_\psi\) of Banach spaces. (English) Zbl 1384.46013 Linear Nonlinear Anal. 3, No. 1, 87-99 (2017). MSC: 46B20 × Cite Format Result Cite Review PDF Full Text: Link
Mizuguchi, Hiroyasu Some geometric constants and the extreme points of the unit ball of Banach spaces. (English) Zbl 1389.46019 Rev. Roum. Math. Pures Appl. 60, No. 1, 59-70 (2015). MSC: 46B20 × Cite Format Result Cite Review PDF
Kato, Mikio; Tamura, Takayuki On a class of convex functions which yield partial \(\ell_1\)-norms. (English) Zbl 1338.46018 Kato, Mikio (ed.) et al., Proceedings of the 4th international symposium on Banach and function spaces IV (ISBFS 2012), Kitakyushu, Japan, September 12–15, 2012. Yokohama: Yokohama Publishers (ISBN 978-4-946552-48-9/hbk). 199-210 (2014). MSC: 46B20 52A21 26A51 47H10 46B10 × Cite Format Result Cite Review PDF
Izumida, Tamotsu; Mitani, Ken-Ichi; Saito, Kichi-Suke Another approach to characterizations of generalized triangle inequalities in normed spaces. (English) Zbl 1311.46014 Cent. Eur. J. Math. 12, No. 11, 1615-1623 (2014). MSC: 46B20 46B25 × Cite Format Result Cite Review PDF Full Text: DOI
Kato, Mikio; Tamura, Takayuki Weak nearly uniform smoothness of the \(\psi\)-direct sums \((X_1\oplus\cdots\oplus X_N)_\psi\). (English) Zbl 1294.46011 Commentat. Math. 52, No. 2, 171-198 (2012). MSC: 46B20 52A21 26A51 47H10 46B10 × Cite Format Result Cite Review PDF
Nikolova, Ludmila; Persson, Lars-Erik; Varošanec, Sanja The Beckenbach-Dresher inequality in the \(\Psi\)-direct sums of spaces and related results. (English) Zbl 1275.26042 J. Inequal. Appl. 2012, Paper No. 7, 14 p. (2012). MSC: 26D15 46B99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhihua; Wang, Jian \(k\)-strict convexity and Banach-Saks property of \(\psi\)-direct sums of Banach spaces. (Chinese. English summary) Zbl 1240.46036 J. Fujian Norm. Univ., Nat. Sci. 26, No. 5, 27-30 (2010). MSC: 46B20 × Cite Format Result Cite Review PDF
Mitani, Ken-ichi; Saito, Kichi-Suke A new geometrical constant of Banach spaces and the uniform normal structure. (English) Zbl 1245.46009 Commentat. Math. 49, No. 1, 3-13 (2009). Reviewer: Jarosław Górnicki (Rzeszów) MSC: 46B20 × Cite Format Result Cite Review PDF
Mitani, Ken-Ichi; Saito, Kichi-Suke A characterization of \(B\)-convexity and \(J\)-convexity of Banach spaces. (English) Zbl 1136.46010 Banach J. Math. Anal. 1, No. 1, 33-42 (2007). Reviewer: Satit Saejung (Khon Kaen) MSC: 46B20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS
Mitani, Ken-ichi; Saito, Kichi-suke \(\psi\)-direct sums of Banach spaces and their applications. (English) Zbl 1128.46009 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30–July 4, 2005. Yokohama: Yokohama Publishers (ISBN 978-4-946552-27-4/hbk). 367-376 (2007). Reviewer: Barry Turett (Rochester) MSC: 46B20 × Cite Format Result Cite Review PDF
Kato, Mikio; Tamura, Takayuki Weak nearly uniform smoothness and WORTH property of \(\psi\)-direct sums of Banach spaces. (English) Zbl 1184.46014 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 46, No. 1, 113-129 (2006). Reviewer: Barry Turett (Rochester) MSC: 46B20 47H10 × Cite Format Result Cite Review PDF
Dhompongsa, Sompong; Kaewkhao, Attapol; Saejung, Satit Uniform smoothness and \(U\)-convexity of \(\psi\)-direct sums. (English) Zbl 1087.46009 J. Nonlinear Convex Anal. 6, No. 2, 327-338 (2005). Reviewer: Barry Turett (Rochester) MSC: 46B20 × Cite Format Result Cite Review PDF
Kato, Mikio; Tamura, Takayuki Some geometric conditions related to fixed point property for \(\psi\)-direct sums of Banach spaces \(X\oplus_{\psi}Y\). (English) Zbl 1098.46013 Kato, Mikio (ed.) et al., Proceedings of the international symposium on Banach and function spaces, Kitakyushu, Japan, October 2–4, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-14-6/pbk). 243-252 (2004). Reviewer: Barry Turett (Rochester) MSC: 46B20 47H09 47H10 × Cite Format Result Cite Review PDF
Dowling, Patrick N. On convexity properties of \(\psi\)-direct sums of Banach spaces. (English) Zbl 1037.46013 J. Math. Anal. Appl. 288, No. 2, 540-543 (2003). MSC: 46B20 × Cite Format Result Cite Review PDF Full Text: DOI