### Approximation by finite rank operators with ranges in ${c}_{o}$.

Kamal, Aref (1993)

International Journal of Mathematics and Mathematical Sciences

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Kamal, Aref (1993)

International Journal of Mathematics and Mathematical Sciences

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Dutta, Hemen, Reddy, B.Surender, Cheng, Sui Sun (2010)

Applied Mathematics E-Notes [electronic only]

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Srinivasan, P.S., Veeramani, P. (2003)

Abstract and Applied Analysis

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Muñiz-Pérez, Omar (2010)

Abstract and Applied Analysis

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Marco Baronti, Vito Fragnelli, Grzegorz Lewicki (1995)

Commentationes Mathematicae Universitatis Carolinae

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Let $Y\subset {l}_{\infty}^{\left(n\right)}$ be a hyperplane and let $A\in \mathcal{L}\left(Y\right)$ be given. Denote $$\begin{array}{ccc}\hfill \mathcal{A}=& \{L\in \mathcal{L}({l}_{\infty}^{\left(n\right)},Y):L\mid Y=A\}\phantom{\rule{4.0pt}{0ex}}\text{and}\phantom{\rule{4pt}{0ex}}\hfill & \hfill {\lambda}_{A}=inf\{\parallel L\parallel :L\in \mathcal{A}\}.\end{array}$$ In this paper the problem of calculating of the constant ${\lambda}_{A}$ is studied. We present a complete characterization of those $A\in \mathcal{L}\left(Y\right)$ for which ${\lambda}_{A}=\parallel A\parallel $. Next we consider the case ${\lambda}_{A}>\parallel A\parallel $. Finally some computer examples will be presented.

Faried, Nashat, Abd El-Kader, Zeinab (2002)

International Journal of Mathematics and Mathematical Sciences

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Changjian, Zhao, Chen, Chur-Jen, Cheung, Wing-Sum (2009)

Journal of Inequalities and Applications [electronic only]

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Srinivasan, P.S., Veeramani, P. (2004)

Fixed Point Theory and Applications [electronic only]

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Ryotaro Tanaka (2014)

Open Mathematics

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The notion of the frame of the unit ball of Banach spaces was introduced to construct a new calculation method for the Dunkl-Williams constant. In this paper, we characterize the frame of the unit ball by using k-extreme points and extreme points of the unit ball of two-dimensional subspaces. Furthermore, we show that the frame of the unit ball is always closed, and is connected if the dimension of the space is not less than three. As infinite dimensional examples, the frame of the unit...

El-Shobaky, Entisarat, Ali, Sahar Mohammed, Takahashi, Wataru (2001)

Abstract and Applied Analysis

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