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If $f \in L^0 (X, L^p_{\text{loc}} (Y))$, then $f \in L^0 (Z)$

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#functional-analysis #measure-theory #solution-verification #banach-spaces #measurable-functions
50
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Hausdorff separation for the definition of Mackey topology

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#functional-analysis #banach-spaces #topological-vector-spaces #nonlinear-analysis
24
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Frechet differentiability, RNP, and Asplundness (soft question)

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#functional-analysis #soft-question #banach-spaces
44
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Does Amann's Theorem 1.4 about $\mu$-measurability extend to metrizable topological groups?

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#functional-analysis #measure-theory #banach-spaces #topological-groups #measurable-functions
31
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Separation of normalized molecules in Lipschitz free space

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#banach-spaces #lipschitz-functions
224
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Let $\mathcal{B}_0(X, Y)$ is a Banach space. Does this imply that $Y$ is a Banach space?

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#functional-analysis #analysis #operator-theory #banach-spaces #banach-algebras
88
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Is there any normed space which does satisfies paralleogram law but not a Hilbert space?

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#functional-analysis #analysis #banach-spaces
83
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Abstract index is an invariant of Banach algebras

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#functional-analysis #banach-spaces #banach-algebras
81
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Projective tensor product of operator spaces

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#operator-theory #banach-spaces #tensor-products #c-star-algebras #operator-spaces
62
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Example of isometry between reflexive and non-reflexive Banach spaces

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#functional-analysis #banach-spaces #examples-counterexamples #reflexive-space
35
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Boundedness of Linear Operators on Banach Subspace with Different Norm

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#functional-analysis #analysis #banach-spaces #complete-spaces #open-map
61
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Why do we use this norm on sequence spaces

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#functional-analysis #analysis #normed-spaces #banach-spaces #cauchy-sequences
57
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Power series, but in p-norms

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#sequences-and-series #power-series #banach-spaces
44
Views

what exactly is the defintion of Y-weak topology?

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#functional-analysis #operator-theory #banach-spaces
95
Views

Show that $\|T^n\|=\frac{1}{n!}$ for $(Tf)(x)=\int_0^xf(t)dt, f\in C[0,1]$

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#functional-analysis #linear-transformations #banach-spaces

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