banach space sentence - banach space sentence in Hindi (31-40)

	31.	Here c _ 0 is the Banach space of sequences converging to zero.
	32.	Suppose that and are Banach spaces and that.
	33.	For every separable Banach space, there is a closed subspace of such that.
	34.	Let be a linear mapping between Banach spaces.
	35.	Precisely, for every Banach space, the map
	36.	A Banach space isomorphic to is homogeneous, and Banach asked for the converse.
	37.	Hilbert spaces, Banach spaces or Fr�chet spaces.
	38.	Leonard Gross provided the generalization to the case of a general separable Banach space.
	39.	They are generalizations of Banach spaces ( normed vector spaces that are norm ).
	40.	In contrast to Banach spaces, the metric need not arise from a norm.

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