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Is $L^p$ for $0<p<1$ quasi-normed?

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#lp-spaces #topological-vector-spaces
82
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When can a continuous linear functional be minimized?

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#functional-analysis #optimization #topological-vector-spaces
66
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Explicit set of seminorms on $C^\infty_c(\mathbb R)$

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#distribution-theory #topological-vector-spaces #locally-convex-spaces
70
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proving an operator is continuous

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#general-topology #functional-analysis #operator-theory #normed-spaces #topological-vector-spaces
178
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Metrically Cauchy vs. Topologically Cauchy

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#real-analysis #functional-analysis #examples-counterexamples #topological-vector-spaces
960
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There is a set of continuous functions $f$ on [0, 1] with supremum metric (metric space). Proof that $\phi(f) = f(0) + f(1)$ is continous

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#continuity #metric-spaces #topological-vector-spaces
104
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Continuous linear functionals on the space $C[0,1]$ with topology of pointwise convergence

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#real-analysis #general-topology #analysis #continuity #topological-vector-spaces
98
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What is the finest locally convex topology that coincides with the weak one on equicontinuous sets

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#general-topology #functional-analysis #topological-vector-spaces #locally-convex-spaces
117
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Support of convolution of Borel probability measures over complete metrizable TVS (paper about Prevalence)

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#functional-analysis #probability-theory #measure-theory #topological-vector-spaces
62
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About convex set $A$ satisfying $A=\bigcap_{f\in E^\ast} f^{-1}(f(A))$

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#reference-request #vector-spaces #convex-analysis #topological-vector-spaces
27
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Is the following norm stronger given that the convergence induced is stronger?

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#general-topology #functional-analysis #normed-spaces #topological-vector-spaces
99
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Compare the topology of pointwise convergence with the vector topology in the space of the continuous scalar functions $C(I)$

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#general-topology #functional-analysis #examples-counterexamples #uniform-convergence #topological-vector-spaces
204
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Direct sum of topological vector space and the convergence of sequence

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#convergence-divergence #topological-vector-spaces #direct-sum
156
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In a finite-dimentional Hausdorff locally convex vector space, how to prove there exists a seminorm which is a norm?

Published on
#functional-analysis #normed-spaces #topological-vector-spaces #locally-convex-spaces
111
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Universal properties of mapping spaces in functional analysis

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#functional-analysis #banach-spaces #normed-spaces #topological-vector-spaces

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