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For any u ∈ C [ I, E ], evidently, ( C [ I, E ], ∥ ⋅ ∥ C ) is a Banach space with the norm ∥ u ∥ C = sup t ∈ I | u ( t ) |, and P = { u ∈ C [ I, E ] : u ( t ) ≥ θ for t ∈ I } is a cone of the Banach space C [ I, E ].
We consider problem (1.1) in C [ I, E ]. Evidently, C [ I, E ] is a Banach space with norm ∥ x ∥ C = max t ∈ I ∥ x ( t ) ∥ and Q = { x ∈ C [ I, E ] : x ( t ) ≥ θ, for t ∈ I } is a cone of the Banach space C [ I, E ].
"I e-mailed her.
Is e-mail essential?
Is E-File Efficient?
My friends and I qualify, evidently.
(When I set up Peel, I'd evidently misidentified Soap as one of the available channels).
I'd evidently decided Bartok was too "difficult".
I had evidently gained admittance to tennis nirvana.
I say evidently because the sound was off.
I am, evidently, not one of those people.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com