The isometric equivalence problem on various Banach spaces

被引:0
作者
Botelho-Andrade S. [1 ]
机构
[1] 2303 Monroe Apt. 6, Memphis
来源
Acta Scientiarum Mathematicarum | 2016年 / 82卷 / 1-2期
关键词
Bloch space; Composition operators; Elementary operators; Hardy space; Isometric equivalence; Spaces of symmetric operators;
D O I
10.14232/actasm-014-044-0
中图分类号
学科分类号
摘要
In this paper we solve the isometric equivalence problem for compo- sition operators on Hardy spaces of the bi-disk, for generalized composition operators on the Bloch space and for elementary operators on the symmetric subspace of B(H).
引用
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页码:193 / 204
页数:11
相关论文
共 16 条
[1]  
Campbell-Wright R.K., Equivalent composition operators, Integral Equations Operator Theory, 14, pp. 775-786, (1991)
[2]  
Cima J.A., Wogen W.R., On isometries of the Bloch space, Illinois J. Math, 24, pp. 313-316, (1980)
[3]  
Cima J.A., Stanton C.S., Wogen W.R., On bound- edness of composition operators on H2(B2), Proc. Amer. Math. Soc, 91, pp. 217-222, (1984)
[4]  
Forelli F., The isometries of Hp, Canad. J. Math, 16, pp. 721-728, (1964)
[5]  
Fosner A., Ilisevic D., Generalized bicircular projections via rank preserving maps on the spaces of symmetric and antisymmetric operators, Oper. Matrices, 5, pp. 239-260, (2011)
[6]  
Gal N.J., Isometric equivalence of some matrix operators, Acta Sci. Math, 72, pp. 237-250, (2006)
[7]  
Gal N.J., An isometric equivalence problem, ProQuest LLC, Ann Arbor, MI, (2007)
[8]  
Gal N.J., Jamison J.E., Siskakis A.G., Isometric equivalence of integration operators, Complex Anal. Oper. Theory, 4, pp. 245-255, (2010)
[9]  
Jamison J.E., Isometric equivalence of certain operators on Banach spaces, Integral Equations Operator Theory, 56, pp. 469-482, (2006)
[10]  
Kalisch G.K., On isometric equivalence of certain Volterra operators, Proc. Amer. Math. Soc, 12, pp. 93-98, (1961)