ABSTRACT
Let 7tk denote the space of all trigonometric polynomials of degree less than or equal to k . Let C0(2n) denote the space of all continuous, real-valued 27r-periodic functions. It is well known by a result of Lozinski [8] that the Fourier projection defined by
where D^t = YLkj = - k el^ » ^as minimal norm among all the projections of C0(2n) onto 7tk [see also 1, 9]. Also it has been shown in [3] that F* is the only projection from C0(2n) onto 7tk of minimal norm. The problem of the unique minimality of the Fourier projection in more general context has been widely studied in literature [see e.g 2,4, 6, 7].
