Ví dụ về việc sử dụng Banach space trong Tiếng anh và bản dịch của chúng sang Tiếng việt
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Probability in Banach spaces.
If this metric space is completethen the normed space is called a Banach space.
Probability on Banach Spaces.
Leonard Gross provided the generalization to the case of a general separable Banach space.
Suppose X is a Banach space and.
Several concepts of a derivative may be defined on a Banach space.
Let B be a Banach space and let K⊆ B be a cone.
Both X¯ and Y¯ are Banach spaces.
A normed space X is a Banach space if and only if each absolutely convergent series in X converges in X.
Sequences and Series in Banach Spaces.
Lagrange multipliers on Banach spaces, Lagrangian method in calculus of variations.
If it is complete it is called a Banach space.
If S is a closed subspace of a Banach space and V is a finite dimensional subspace, then S+ V is closed.
The Sobolev space is a Banach space.
If X is a Banach space and S is a closed subspace then S is a Banach space and X/S is a Banach space.
With respect to this norm B( X, Y) is a Banach space.
In it he formulated the concept now known as Banach space, and proved many fundamental theorems of functional analysis.
If such a space is complete, we call it a Banach space.
If M is a closed linear subspace of the Banach space X, then the quotient space X/ M is again a Banach space.
Bases of random unconditional convergence in Banach spaces.
The notion of a Banach space itself was discovered independently by both Wiener and Stefan Banach at around the same time.
Let$X$ be a normed space and$Y$ be a Banach space.
In mathematics, Banach spaces(pronounced), named after Stefan Banach who studied them, are one of the central objects of study in functional analysis….
If it is also surjective, then the Banach space V is called reflexive.
Later on, Stefan Banach amplified the concept, defining Banach spaces.
A necessary and sufficient condition for a Banach space V to be associated to an inner product(which will then necessarily make V into a Hilbert space) is the parallelogram identity.
A Hilbert space is a special case of a Banach space.
The sum of closed subspaces of a Banach space need not be closed.
Since we modded out the functions with Lp-seminorm zero, this is a normed linear space, and the Riesz-Fischer theorem asserts that it is a Banach space.
If V is infinite-dimensional, there exist linear maps which are not continuous, and therefore not bounded, so the space V∗ oflinear maps into K is not a Banach space.