Invariance of the Wilansky property
The Wilatisky property was originally formulated as a property of FK spaces in 1987 by both G. Bennett [1] and W. Stadler [12], In 1991, A. K. Snyder and G. Stoudt [10] identified the Wilansky property as a basis property for a Banach space. In the present work, we study the invariaiice of this property with respect to the coefficient functionals associated with a basis. We characterize sectional boundedness of biorthogonal systems in Banach spaces in terms of the closed hnear span of its functionals. This characterization is then employed to prove that the Wilansky property, as defined for a basis, is an invariant of the closed span of its coefficient functionals. AMS 1991 subject Classification numbers: 46B15, 40H05, 46B45