normed space वाक्य
उदाहरण वाक्य
मोबाइल
- Every finite-dimensional normed space over or is a Banach space.
- Thus becomes a complex normed space with open unit ball.
- Normed spaces for which the map ? is a bijection are called reflexive.
- Any linear operator defined on a finite-dimensional normed space is bounded.
- Every inner product space is also a normed space.
- The cartesian product of two normed spaces is not canonically equipped with a norm.
- As a complete normed space, Hilbert spaces are by definition also Banach spaces.
- And give rise to isomorphic normed spaces.
- X " is a normed space the sets may be taken to be convex.
- Incidentally, by the Kuratowski embedding any metric space is isometric to a subset of a normed space.
- Using the isometric embedding, it is customary to consider a normed space as a subset of its bidual.
- The ! 0-normed space is studied in functional analysis, probability theory, and harmonic analysis.
- Cells are defined in a normed space, commonly a two-dimensional Euclidean geometry, like a grid.
- In particular, a normed space is an Hadamard space if and only if it is a Hilbert space.
- The set of all vectors of norm less than one is called the unit ball of a normed space.
- Hence, special uniformly continuous real-valued functions are essentially the restrictions of uniformly continuous functions on normed spaces.
- Each infinite dimensional normed space X considered with the X ^ { \ star }-weak topology is not stereotype.
- There exist normed spaces in any dimension for which certain sets of four equilateral points cannot be extended to any larger equilateral set
- Being the dual of a normed space, the bidual is complete, therefore, every reflexive normed space is a Banach space.
- Being the dual of a normed space, the bidual is complete, therefore, every reflexive normed space is a Banach space.
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