Yayınlanmış 1 Ocak 2011
| Sürüm v1
Dergi makalesi
Açık
A Fredholm alternative-like result on power bounded operators
Oluşturanlar
- 1. Koc Univ, Dept Math, TR-34450 Istanbul, Turkey
- 2. Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey
Açıklama
Let X be a complex Banach space and T : X -> X be a power bounded operator, i.e., sup(n >= 0) parallel to T(m)parallel to < infinity. We write B(X) for the Banach algebra of all bounded linear operators on X. We prove that the space Ran(I - T) is closed if and only if there exist a projection theta is an element of B(X) and an invertible operator R is an element of B(X) such that I - T = theta R = R theta. This paper also contains some consequences of this result.
Dosyalar
10-3906-mat-0912-68.pdf
Dosyalar
(174.3 kB)
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