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Let be a mean on.
An element in is said to be a mean on if.
An element of is said to be a mean on if.
An element μ of X ∗ is said to be a mean on X if ∥ μ ∥ = μ ( 1 ) = 1.
Let { x n } n ∈ N be a bounded sequence of C and let μ be a mean on l ∞.
Let { x t } be a bounded set in E, and z ∈ C. Let μ t be a mean on X.
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Hence, μ is a mean on l ∞.
Moreover, if is a mean on then (2.5).
Then is called a mean on if As well known, is a mean on if and only if.
We know that is a mean on if and only if (2.3).
Then, we know that is a mean on if and only if (2.4).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com