T. Dalby

activity

20202024

most citedProperties of $R(X), R(a, X) \mbox{ and } RW(a, X)$

1 citations · 1 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.FA2021

$D (X) < 1$ or $D^(X) < 1$ imply Property( $K$ )

Tim Dalby

Two new Banach space moduli, that involve weak convergent sequences, are introduced. It is shown that if either one of these moduli are strictly less than 1 then the Banach space h…

math.FA2021

Property( $K^{}$ ) Implies $R (X) \leq 1 + \frac{1}{1 + r _{X^{}} ( 1 )}$

Tim Dalby

It is shown that if the dual of a Banach space satisfies Property( $K^{*}$ ) then $R (X) \leq 1 + \frac{1}{1 + r _{X^{*}} ( 1 )} < 2$ where $r_{X^{*}} (c)$ is Opial's…

D(X)<1 or D^(X)<1 imply Property(K)

Property(K∗) Implies R(X)≤1+1+rX∗​(1)1​

$D (X) < 1$ or $D^(X) < 1$ imply Property( $K$ )

Property( $K^{}$ ) Implies $R (X) \leq 1 + \frac{1}{1 + r _{X^{}} ( 1 )}$