Some recent inequalities for the norm and the numerical radius of linear operators in Hilbert spaces are surveyed.
References
M.L. Buzano, Generalizzazione della disiguaglianza di Cauchy-Schwaz(Italian), Rend. Sem. Mat. Univ. e Politech. Torino, 31 (1971/73), 405-409 (1974). MR344857M.L. Buzano, Generalizzazione della disiguaglianza di Cauchy-Schwaz(Italian), Rend. Sem. Mat. Univ. e Politech. Torino, 31 (1971/73), 405-409 (1974). MR344857
S.S. Dragomir, Some refinements of Schwarz inequality, Simposional de Matematică şi Aplicaţii, Polytechnical Institute Timişoara, Romania, 1-2 Nov., 1985, 13-16. ZBL 0594:46018.S.S. Dragomir, Some refinements of Schwarz inequality, Simposional de Matematică şi Aplicaţii, Polytechnical Institute Timişoara, Romania, 1-2 Nov., 1985, 13-16. ZBL 0594:46018.
S.S. Dragomir, Some Grüss type inequalities in inner product spaces, J. Ineq. Pure & Appl. Math., 4(2) (2003), Art. 42. [ONLINE http://jipam.vu.edu.au/article.php?sid=280]. MR1994255S.S. Dragomir, Some Grüss type inequalities in inner product spaces, J. Ineq. Pure & Appl. Math., 4(2) (2003), Art. 42. [ONLINE http://jipam.vu.edu.au/article.php?sid=280]. MR1994255
S.S. Dragomir, A potpourri of Schwarz related inequalities in inner product spaces (I), J. Ineq. Pure & Appl. Math., 6% (3) (2005), Art. 59. [ONLINE http://jipam.vu.edu.au/article.php?sid=532]. MR2164300S.S. Dragomir, A potpourri of Schwarz related inequalities in inner product spaces (I), J. Ineq. Pure & Appl. Math., 6% (3) (2005), Art. 59. [ONLINE http://jipam.vu.edu.au/article.php?sid=532]. MR2164300
S.S. Dragomir, A potpourri of Schwarz related inequalities in inner product spaces (II), J. Ineq. Pure & Appl. Math.,7 (1) (2006), Art. 14. [ONLINE http://jipam.vu.edu.au/article.php?sid=619]. MR2217177S.S. Dragomir, A potpourri of Schwarz related inequalities in inner product spaces (II), J. Ineq. Pure & Appl. Math.,7 (1) (2006), Art. 14. [ONLINE http://jipam.vu.edu.au/article.php?sid=619]. MR2217177
S.S. Dragomir, Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, Bull. Austral. Math. Soc., 73 (2006), 255-262. Preprint available on line at RGMIA Res. Rep. Coll. 8(2005), Supplement, Article 9, [ONLINE http://rgmia.vu.edu.au/v8(E).html ]. MR2217944 10.1017/S0004972700038831 1106.47007S.S. Dragomir, Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, Bull. Austral. Math. Soc., 73 (2006), 255-262. Preprint available on line at RGMIA Res. Rep. Coll. 8(2005), Supplement, Article 9, [ONLINE http://rgmia.vu.edu.au/v8(E).html ]. MR2217944 10.1017/S0004972700038831 1106.47007
S.S. Dragomir, Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces, Demonstratio Mathematica (Poland), XL (2007), No. 2, 411-417. Preprint available on line at RGMIA Res. Rep. Coll.8(2005), Supplement, Article 10, [ONLINE http://rgmia.vu.edu.au/v8(E).html ]. MR2332029S.S. Dragomir, Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces, Demonstratio Mathematica (Poland), XL (2007), No. 2, 411-417. Preprint available on line at RGMIA Res. Rep. Coll.8(2005), Supplement, Article 10, [ONLINE http://rgmia.vu.edu.au/v8(E).html ]. MR2332029
S.S. Dragomir, Inequalities for the norm and numerical radius of composite operators in Hilbert spaces, Preprint available on line at RGMIA Res. Rep. Coll. 8 (2005), Supplement, Article 11, [ONLINE http://rgmia.vu.edu.au/v8(E).html ]. MR2758975 10.1007/978-3-7643-8773-0_13S.S. Dragomir, Inequalities for the norm and numerical radius of composite operators in Hilbert spaces, Preprint available on line at RGMIA Res. Rep. Coll. 8 (2005), Supplement, Article 11, [ONLINE http://rgmia.vu.edu.au/v8(E).html ]. MR2758975 10.1007/978-3-7643-8773-0_13
A. Goldstein, J.V. Ryff and L.E. Clarke, Problem 5473, Amer. Math. Monthly, 75(3) (1968), 309. MR1534789 10.2307/2314992A. Goldstein, J.V. Ryff and L.E. Clarke, Problem 5473, Amer. Math. Monthly, 75(3) (1968), 309. MR1534789 10.2307/2314992