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- W4288415032 abstract "The quotient shape types of normed vectorial spaces(over the same field) with respect to Banach spaces reduce to those of Banach spaces. The finite quotient shape type of normed spaces is an invariant of the (algebraic) dimension, but not conversely. The converse holds for separable normed spaces as well as for the bidual-like spaces (isomorphic to their second dual spaces). As a consequence, the Hilbert space $l_2$, or even its (countably dimensional, unitary) direct sum subspace may represent the unique quotient shape type of all $2^aleph_0$-dimensional normed spaces. An application yields two extension type theorems." @default.
- W4288415032 created "2022-07-29" @default.
- W4288415032 creator A5026307451 @default.
- W4288415032 date "2019-03-15" @default.
- W4288415032 modified "2023-09-28" @default.
- W4288415032 title "The quotient shapes of normed spaces and application" @default.
- W4288415032 doi "https://doi.org/10.48550/arxiv.1903.06456" @default.
- W4288415032 hasPublicationYear "2019" @default.
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