Let B be a Douglas algebra and let B be the algebra on the disk generated by the harmonic extensions of the functions in B. In this paper we show that B is generated by H∞(D) and the complex conjugates of the harmonic extensions of the interpolating Blaschke products invertible in B. Every element S in the Toeplitz algebra TB generated by Toeplitz operators (on the Bergman space) with symbols i...

In this paper we prove a $K$-homology index theorem for the Toeplitz operators obtained from multishifts of Bergman space on several classes egg-like domains. This generalizes our with Douglas and Yu unit ball.

In this work we focus on the convex feasibility problem (CFP) in Hilbert space. A specific method area that has gained a lot of interest recent years is Douglas-Rachford (DR) algorithm. This algorithm was originally introduced 1956 for solving stationary and non-stationary heat equations. Then 1979, Lions Mercier adjusted extended with aim CFPs even more general problems, such as finding zeros ...

We show that L°°/A is not the dual space of any Banach space when A is a Douglas algebra of a certain type. We do this by showing its unit ball has no extreme points. The method used requires that any function in L°° has a nonunique best approximation in A. We therefore also show that the Douglas algebra Hx + Lf, when F is an open subset of the unit circle, permits best approximation. We use a ...

Douglas Sirk, now fully recognized as an influential filmmaker, was considered a successful but uninteresting director in the 1950s. His melodramas were bland and subsequently ignored because they focused on female-centric concerns. In following decades, he started to be auteur that not only had impeccable vibrant mise-en-scène, also unique ability deliver movies might seem superficial surface ...

In this article we investigate the numerical approximation of the Darcy equations in an axisymmetric domain, subject to axisymmetric data. Rewriting the problem in cylindrical coordinates reduces the 3-D problem to a problem in 2-D. This reduction to 2-D requires the numerical analysis to be studied in suitably weighted Hilbert spaces. In this setting the Raviart-Thomas (RT) and Brezzi-Douglas-...

Purpose: Aspiration of intra abdominal fluid and debris is usually needed during different stages of the operation. This is necessary in order to protect the intra abdominal space from contamination and/or to remove blood or tissue fluids that may occur during the operation. It is also essential for obtaining a clean surgical area. Aspiration of intra abdominal fluid collecting in Douglas Pouch...

Form document structure analysis is an intrinsic technique. However, It has fundamental problems because interruptions of lines and noise cause low-quality form images. This paper focuses on connecting disappeared comer patterns. Our method has two stages for making correct connections, noise elimination, in which lines whose two end points meet no other lines are eliminated and object line sel...

Douglas Comer / 342 pages / Pearson Prentice Hall, 2007 / 2007 / Automated Network Management Systems: Current and Future Capabilities / 0132393085, 9780132393089 / Automated Network Management Systems is ideal for advanced undergraduate or graduate-level courses in Networking or for professionals managing networks. Network management is an interesting, but intellectually challenging, problem â...