Kostianko, Anna; Zelik, Sergey Smooth extensions for inertial manifolds of semilinear parabolic equations. (English) Zbl 07818637 Anal. PDE 17, No. 2, 499-533 (2024). MSC: 35B40 35B42 37D10 37L25 PDFBibTeX XMLCite \textit{A. Kostianko} and \textit{S. Zelik}, Anal. PDE 17, No. 2, 499--533 (2024; Zbl 07818637) Full Text: DOI arXiv
Johanis, Michal; Kryštof, Václav; Zajíček, Luděk On Whitney-type extension theorems on Banach spaces for \(C^{1, \omega}, C^{1,+}, C_{\operatorname{loc}}^{1, +}\), and \(C_{\operatorname{B}}^{1, +}\)-smooth functions. (English) Zbl 07782576 J. Math. Anal. Appl. 532, No. 1, Article ID 127976, 27 p. (2024). MSC: 26Bxx 58Cxx 46Bxx PDFBibTeX XMLCite \textit{M. Johanis} et al., J. Math. Anal. Appl. 532, No. 1, Article ID 127976, 27 p. (2024; Zbl 07782576) Full Text: DOI arXiv
Abbaszadehpeivasti, Hadi; de Klerk, Etienne; Zamani, Moslem The exact worst-case convergence rate of the gradient method with fixed step lengths for \(L\)-smooth functions. (English) Zbl 1493.90138 Optim. Lett. 16, No. 6, 1649-1661 (2022). MSC: 90C26 90C52 90C22 PDFBibTeX XMLCite \textit{H. Abbaszadehpeivasti} et al., Optim. Lett. 16, No. 6, 1649--1661 (2022; Zbl 1493.90138) Full Text: DOI arXiv
Azagra, Daniel Locally \(C^{1,1}\) convex extensions of \(1\)-jets. (English) Zbl 1493.26040 Rev. Mat. Iberoam. 38, No. 1, 131-174 (2022). MSC: 26B25 28A75 41A30 52A20 52A27 53C45 PDFBibTeX XMLCite \textit{D. Azagra}, Rev. Mat. Iberoam. 38, No. 1, 131--174 (2022; Zbl 1493.26040) Full Text: DOI arXiv
Azagra, Daniel; Mudarra, Carlos \(C^{1, \omega }\) extension formulas for \(1\)-jets on Hilbert spaces. (English) Zbl 1484.46081 Adv. Math. 389, Article ID 107928, 44 p. (2021). Reviewer: Michael Dymond (Leipzig) MSC: 46T20 26B05 26B25 46C99 PDFBibTeX XMLCite \textit{D. Azagra} and \textit{C. Mudarra}, Adv. Math. 389, Article ID 107928, 44 p. (2021; Zbl 1484.46081) Full Text: DOI arXiv
Azagra, Daniel; Le Gruyer, Erwan; Mudarra, Carlos Kirszbraun’s theorem via an explicit formula. (English) Zbl 1521.47087 Can. Math. Bull. 64, No. 1, 142-153 (2021). Reviewer: Jürgen Appell (Würzburg) MSC: 47H09 52A41 54C20 PDFBibTeX XMLCite \textit{D. Azagra} et al., Can. Math. Bull. 64, No. 1, 142--153 (2021; Zbl 1521.47087) Full Text: DOI arXiv
Azagra, Daniel; Mudarra, Carlos Prescribing tangent hyperplanes to \(C^{1,1}\) and \(C^{1, \omega}\) convex hypersurfaces in Hilbert and superreflexive Banach spaces. (English) Zbl 1444.52001 J. Convex Anal. 27, No. 1, 79-102 (2020). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 52A07 52A20 46C05 46B10 PDFBibTeX XMLCite \textit{D. Azagra} and \textit{C. Mudarra}, J. Convex Anal. 27, No. 1, 79--102 (2020; Zbl 1444.52001) Full Text: arXiv Link
Daniilidis, Aris; Haddou, Mounir; Le Gruyer, Erwan; Ley, Olivier Explicit formulas for \(C^{1,1}\) Glaeser-Whitney extensions of \(1\)-Taylor fields in Hilbert spaces. (English) Zbl 1406.54009 Proc. Am. Math. Soc. 146, No. 10, 4487-4495 (2018). Reviewer: Pao-sheng Hsu (Columbia Falls) MSC: 54C20 52A41 26B05 26B25 58C25 PDFBibTeX XMLCite \textit{A. Daniilidis} et al., Proc. Am. Math. Soc. 146, No. 10, 4487--4495 (2018; Zbl 1406.54009) Full Text: DOI arXiv
Azagra, D.; Le Gruyer, E.; Mudarra, C. Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces. (English) Zbl 1393.58006 J. Funct. Anal. 274, No. 10, 3003-3032 (2018). Reviewer: Mihai Turinici (Iaşi) MSC: 58C25 54C20 26B05 PDFBibTeX XMLCite \textit{D. Azagra} et al., J. Funct. Anal. 274, No. 10, 3003--3032 (2018; Zbl 1393.58006) Full Text: DOI arXiv
Shvartsman, Pavel Whitney-type extension theorems for jets generated by Sobolev functions. (English) Zbl 1373.46029 Adv. Math. 313, 379-469 (2017). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 46E35 26B99 PDFBibTeX XMLCite \textit{P. Shvartsman}, Adv. Math. 313, 379--469 (2017; Zbl 1373.46029) Full Text: DOI arXiv
Stacey, Andrew The smooth structure of the space of piecewise-smooth loops. (English) Zbl 1384.58008 Glasg. Math. J. 59, No. 1, 27-59 (2017). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58B05 57N20 PDFBibTeX XMLCite \textit{A. Stacey}, Glasg. Math. J. 59, No. 1, 27--59 (2017; Zbl 1384.58008) Full Text: DOI arXiv
Azagra, Daniel; Mudarra, Carlos An extension theorem for convex functions of class \(C^{1,1}\) on Hilbert spaces. (English) Zbl 1364.26017 J. Math. Anal. Appl. 446, No. 2, 1167-1182 (2017). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 26B25 46G05 46T20 46C05 54C20 58C20 26E10 PDFBibTeX XMLCite \textit{D. Azagra} and \textit{C. Mudarra}, J. Math. Anal. Appl. 446, No. 2, 1167--1182 (2017; Zbl 1364.26017) Full Text: DOI arXiv
Fefferman, Charles; Israel, Arie; Luli, Garving K. Finiteness principles for smooth selection. (English) Zbl 1353.58004 Geom. Funct. Anal. 26, No. 2, 422-477 (2016). Reviewer: Dorin Andrica (Riyadh) MSC: 58C25 41A10 41A05 65D15 PDFBibTeX XMLCite \textit{C. Fefferman} et al., Geom. Funct. Anal. 26, No. 2, 422--477 (2016; Zbl 1353.58004) Full Text: DOI arXiv
Le Gruyer, Erwan Y. Extremal extension for \(m\)-jets of one variable with range in a Hilbert space. (English) Zbl 1318.54009 Adv. Math. 281, 1274-1284 (2015). MSC: 54C20 58C25 46T20 PDFBibTeX XMLCite \textit{E. Y. Le Gruyer}, Adv. Math. 281, 1274--1284 (2015; Zbl 1318.54009) Full Text: DOI
Le Gruyer, Erwan Y.; Phan, Thanh Viet Sup-inf explicit formulas for minimal Lipschitz extensions for 1-fields on \(\mathbb R^n\). (English) Zbl 1336.46063 J. Math. Anal. Appl. 424, No. 2, 1161-1185 (2015). MSC: 46T20 26B35 PDFBibTeX XMLCite \textit{E. Y. Le Gruyer} and \textit{T. V. Phan}, J. Math. Anal. Appl. 424, No. 2, 1161--1185 (2015; Zbl 1336.46063) Full Text: DOI arXiv
Hirn, Matthew J.; Le Gruyer, Erwan Y. A general theorem of existence of quasi absolutely minimal Lipschitz extensions. (English) Zbl 1301.54032 Math. Ann. 359, No. 3-4, 595-628 (2014). Reviewer: Stefan Czerwik (Gliwice) MSC: 54C20 39B05 PDFBibTeX XMLCite \textit{M. J. Hirn} and \textit{E. Y. Le Gruyer}, Math. Ann. 359, No. 3--4, 595--628 (2014; Zbl 1301.54032) Full Text: DOI arXiv
Movahedi-Lankarani, H.; Wells, R. \(C^{1}\)-Weierstrass for compact sets in Hilbert space. (English) Zbl 1033.46023 J. Math. Anal. Appl. 285, No. 1, 299-320 (2003). Reviewer: Victor Milman (Minsk) MSC: 46E15 46E25 46E40 46T20 PDFBibTeX XMLCite \textit{H. Movahedi-Lankarani} and \textit{R. Wells}, J. Math. Anal. Appl. 285, No. 1, 299--320 (2003; Zbl 1033.46023) Full Text: DOI
Fry, R.; McManus, S. Smooth bump functions and the geometry of Banach spaces. A brief survey. (English) Zbl 1014.46007 Expo. Math. 20, No. 2, 143-183 (2002). Reviewer: J.R.Holub (Blacksburg) MSC: 46B20 46G05 46-02 PDFBibTeX XMLCite \textit{R. Fry} and \textit{S. McManus}, Expo. Math. 20, No. 2, 143--183 (2002; Zbl 1014.46007) Full Text: DOI
Attouch, H.; Aze, D. Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method. (English) Zbl 0780.41021 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 10, No. 3, 289-312 (1993). MSC: 41A65 65K10 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{D. Aze}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 10, No. 3, 289--312 (1993; Zbl 0780.41021) Full Text: DOI Numdam EuDML
Arias de Reyna, Juan A real-valued homomorphism on algebras of differentiable functions. (English) Zbl 0694.46036 Proc. Am. Math. Soc. 104, No. 4, 1054-1058 (1988). MSC: 46J15 46J20 46E25 41A65 PDFBibTeX XMLCite \textit{J. Arias de Reyna}, Proc. Am. Math. Soc. 104, No. 4, 1054--1058 (1988; Zbl 0694.46036) Full Text: DOI
Eells, James; Fournier, Gilles La théorie des points fixes des applications à iterée condensante. (French) Zbl 0335.58006 Bull. Soc. Math. Fr., Suppl., Mém. 46, 91-120 (1976). MSC: 58B20 54C35 47H10 54C55 54H25 55M20 58D15 PDFBibTeX XMLCite \textit{J. Eells} and \textit{G. Fournier}, Bull. Soc. Math. Fr., Suppl., Mém. 46, 91--120 (1976; Zbl 0335.58006) Full Text: Numdam EuDML
Wells, John C.; DePrima, Charles R. Local automorphisms are differential operators on some Banach spaces. (English) Zbl 0269.47024 Proc. Am. Math. Soc. 40, 453-457 (1973). MSC: 47F05 58J99 58B10 PDFBibTeX XMLCite \textit{J. C. Wells} and \textit{C. R. DePrima}, Proc. Am. Math. Soc. 40, 453--457 (1973; Zbl 0269.47024) Full Text: DOI