banach space sentence - banach space sentence in Hindi (41-50)

	41.	This means that the correspondence defines a linear operator between the Banach spaces and.
	42.	If we take a Banach space completion, it becomes a C * algebra.
	43.	A further generalisation is to Fr�chet manifolds, replacing Banach spaces by Fr�chet spaces.
	44.	Turning it into a normed vector space ( in fact a Banach space ).
	45.	Let be a compatible couple of Banach spaces.
	46.	As a complete normed space, Hilbert spaces are by definition also Banach spaces.
	47.	Note, this theorem fails for complex Banach spaces
	48.	When is a Banach space, it is viewed as a closed linear subspace of.
	49.	Indeed, if the dual of a Banach space is separable, then is separable.
	50.	Finally, all of the above holds for integrals with values in a Banach space.

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