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If $x$ and $y$ are linearly independent, there is a separating linear functional

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#linear-algebra #vector-spaces #dual-spaces #hamel-basis
113
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Another approach for dimension of a vector space

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#linear-algebra #vector-spaces #hamel-basis
86
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Taft-Hopf Algebra has dimension $N^2$?

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#linear-algebra #abstract-algebra #finitely-generated #hopf-algebras #hamel-basis
120
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Dimension: Hilbert vs. Hamel

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#functional-analysis #hilbert-spaces #hamel-basis
38
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Finding dimension and subspace in $\mathbb{R}^5$ with only two vectors

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#linear-algebra #hamel-basis
1.4k
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What is the basis of the vector space $l^\infty$?

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#linear-algebra #functional-analysis #lp-spaces #normed-spaces #hamel-basis
2.6k
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Confusion about the Hamel Basis

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#vector-spaces #hilbert-spaces #definition #hamel-basis
40
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Fundamental polynomials: do they form a base

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#polynomials #vector-spaces #lagrange-interpolation #hamel-basis
103
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Special orthonormal basis for space of continuous real functions on a closed interval

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#linear-algebra #vector-spaces #continuity #hamel-basis #schauder-basis
62
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Immediate consequence of a theorem related to spanning set/basis - linear algebra

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#linear-algebra #hamel-basis
143
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On the "basis" of the space $C^\infty(a,b)$ of smooth functions

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#vector-spaces #smooth-functions #hamel-basis #schauder-basis
42
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Can any spanning subset be reduced to a Hamel basis in infinite dimensions?

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#vector-spaces #hamel-basis
61
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Is the alternative proof correct? if not why?

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#linear-algebra #abstract-algebra #vector-spaces #hamel-basis
733
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Is there an infinite dimensional inner product space without an orthogonal Hamel basis?

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#linear-algebra #inner-products #hamel-basis
305
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Reproducing kernel Hilbert space induced by $k(x, y) = \delta_{x, y}$, where $\delta$ is the Kronecker delta

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#hilbert-spaces #orthonormal #dual-spaces #hamel-basis #reproducing-kernel-hilbert-spaces

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