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Generalizing norms: leaving out absolute homogeneity

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#metric-spaces #normed-spaces #topological-vector-spaces
41
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Does boundedness in topological vector space imply boundedness in subspace

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#general-topology #functional-analysis #topological-vector-spaces
1.4k
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What is the dual space to $C^1(\mathbb{R})$

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#functional-analysis #banach-spaces #weak-convergence #topological-vector-spaces
309
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Are closed subspaces of reflexive locally convex spaces reflexive?

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#functional-analysis #topological-vector-spaces #locally-convex-spaces
14
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Continuity of a "multiplier" in a vector equation

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#vector-spaces #euclidean-geometry #vector-analysis #topological-vector-spaces
1.8k
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Topology of the space $\mathcal{D}(\Omega)$ of test functions

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#general-topology #functional-analysis #distribution-theory #topological-vector-spaces
1.4k
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infinite dimensional supporting hyperplane theorem

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#functional-analysis #convex-analysis #convex-optimization #topological-vector-spaces
1.5k
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The Space $\mathcal{D}(\Omega)$ of Test Functions is Not a Sequential Space

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#general-topology #functional-analysis #distribution-theory #topological-vector-spaces
2.2k
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Applying surface integral on the Mobius strip

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#vectors #topological-vector-spaces #surface-integrals #scalar-fields
63
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Are these two topologies same

Published on
#topological-groups #topological-vector-spaces #topological-rings
432
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Continuous linear maps on Fréchet space are uniformly continuous?

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#functional-analysis #metric-spaces #topological-vector-spaces
1.7k
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Is Riesz representation theorem general?

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#functional-analysis #inner-products #topological-vector-spaces #riesz-representation-theorem
477
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Metrizability of the Weak Dual

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#functional-analysis #topological-vector-spaces
152
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Topology of a module of finite type

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#general-topology #group-actions #topological-vector-spaces #galois-representations
22
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Show that $T(X)$ is a bounded set in Y iff $T(X)\subset \cap _{V\in N} V$ where $N$ is a neighborhood base at $0$ of $Y$.

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#functional-analysis #linear-transformations #topological-vector-spaces

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