Acta mathematica scientia, Series B >
SOME PROPERTIES OF m-ISOMETRIES AND m-INVERTIBLE OPERATORS ON BANACH SPACES
Received date: 2009-04-03
Revised date: 2011-03-17
Online published: 2012-03-20
This article has two purposes: the first is to give some structure results for the class of m-isometries, and the second purpose is to extend the notions of left and right inverses to m-left and m-right inverses respectively.
Key words： m-isometry; m-left inverse;; m-right inverse; approximate spectrum; point spectrum
Ould Ahmed Mahmoud Sid Ahmed . SOME PROPERTIES OF m-ISOMETRIES AND m-INVERTIBLE OPERATORS ON BANACH SPACES[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 520 -530 . DOI: 10.1016/S0252-9602(12)60034-4
[1] Agler J, Stankus M. m-isometric transformations of Hilbert space. I. Integral Equations Operator Theory, 1995, 21(4): 383–429
[2] Agler J, Stankus M. m-isometric transformations of Hilbert space. II. Integral Equations Operator Theory, 1995, 23(1): 1–48
[3] Agler J, Stankus M.m-isometric transformations of Hilbert space. III. Integral Equations Operator Theory, 1996, 24(4): 379–421
[4] Bayart F. m-isometries on Banach spaces (to appear in Math Nach)
[5] Botelho F, Jamison J. Isometric properties of elementary operators. Linear Algebra and its Applications, 2010, 432: 357–365
[6] Kato T. Perturbation Theory for Linear Operators. New York: Springer-Verlag, 1984
[7] Mâu N V. Boundary value problems and controllability of linear system with right invertible operators. Dissertationes Math (Rozprawy Mat), 1992: 316
[8] Mâu N V. Properties of generalized almost inverses. Demonstratio Math, 1992, 3: 493–511
[9] Patel S M. 2-isometry operators. Glasnik Mathemati?cki, 2002, 37(57): 143–147
[10] Przeworska-Rolewicz D. Algebraic analysis. Warszawa - Dordrecht: PWN - Polish Scientific Publishers and D. Reidel Publishing Company, 1988
[11] Przeworska-Rolewicz D. Algebraic theory of right invertible operators. Studia Math, 1973, 48: 129–144
/
| 〈 |
|
〉 |