real analysis related issues & queries in MathXchanger

If $X$ is a complex Banach space, is the set $T \in L(X)$ with finite dimensional kernel dense?

real-analysis functional-analysis
Updated February 17, 2019 22:20 PM

Cantor's Theorem proof

real-analysis
Updated February 17, 2019 22:20 PM

Proving that $y_n$ converges given $y_{2n}, y_{2n+1}$ converges

real-analysis proof-verification convergence
Updated February 17, 2019 21:20 PM

Surface Integral of Vector Field

integration analysis vector-analysis vector-fields surface-integrals
Updated February 17, 2019 21:20 PM

Proving a specific set in $\mathbb R^2$ is closed.

real-analysis
Updated February 17, 2019 21:20 PM

Apply the Monotone Convergence Theorem to show that λ is countably additive.

analysis measure-theory convergence lebesgue-integral
Updated February 17, 2019 21:20 PM

Can someone help me solve this limit?

real-analysis calculus limits
Updated February 17, 2019 20:20 PM

winding number of paths

complex-analysis multivariable-calculus winding-number
Updated February 17, 2019 20:20 PM

Tensor product of function spaces: does $\widehat{\bigotimes}_{\pi;1\leq k\leq n}C(X_{k})^{\prime}\cong C(\prod_{k}X)^{\prime}$ hold?

functional-analysis banach-spaces tensor-products
Updated February 17, 2019 20:20 PM

Find the closure of $C=\{f\in C([0,1]):f(0)=0\}$

functional-analysis functions convergence
Updated February 17, 2019 20:20 PM

quadratic functions in real numbers for f(x)=g(x)

analysis quadratics formal-proofs
Updated February 17, 2019 19:20 PM

Question about a Bernoulli's integration.

calculus integration analysis
Updated February 17, 2019 19:20 PM

Integrate $\int_{|z|=1}z^{3}e^{1/z}dz$ - verification

complex-analysis proof-verification complex-integration cauchy-integral-formula
Updated February 17, 2019 19:20 PM

Geometric Interpretation of "$A,B\in \mathbb{C}$, there exists a point $a∈A$ such that $∀x∈A,y∈B $ there exists $b∈B$ such that $|a−b|≤|x−y|.$

complex-analysis
Updated February 17, 2019 18:20 PM

Inequality constraints and the max function

optimization convex-analysis convex-optimization numerical-optimization
Updated February 17, 2019 18:20 PM

Is it true that every neighbourhood of zero is sum of some two other neighbourhoods of zero

real-analysis general-topology
Updated February 17, 2019 18:20 PM

Convergence of certain integrals to $f(t)/2$

real-analysis measure-theory pde
Updated February 17, 2019 18:20 PM

convergence of bouded, holomorphic functions on the disk

complex-analysis uniform-convergence holomorphic-functions
Updated February 17, 2019 17:20 PM

Why is $\lim\limits_{n\to\infty}\left(1+\dfrac{1}{n+1}\right)^{n+1}=e$ trivial?

analysis
Updated February 17, 2019 17:20 PM

Does an increasing sequence of reals converge if the difference of consecutive terms approaches zero?

real-analysis sequences-and-series
Updated February 17, 2019 17:20 PM

Integrate $\int_{|z|=1/2}\frac{e^{1-z}}{z^{3}(1-z)}dz$ verification

complex-analysis proof-verification complex-integration cauchy-integral-formula
Updated February 17, 2019 17:20 PM

Why are quadratic forms required to be finite-dimensional?

functional-analysis quadratic-forms
Updated February 17, 2019 17:20 PM

Why is this an non-injective immersion?

real-analysis
Updated February 17, 2019 16:20 PM

Finitely Additive Homogeneous Translation Invariant Measure on $\mathcal{P}(\mathbb{R})$

real-analysis functional-analysis measure-theory hahn-banach-theorem
Updated February 17, 2019 16:20 PM

A difficult limit -> problem in getting out of the form $\infty \times 0$

real-analysis sequences-and-series limits
Updated February 17, 2019 16:20 PM

Existence of $\xi$ and $\eta$ such that $f'(\xi)+f'(\eta)=\xi+\eta$

real-analysis calculus
Updated February 17, 2019 16:20 PM

Why Koopman operator is defined on $L^\infty$ space?

functional-analysis measure-theory operator-theory operator-algebras
Updated February 17, 2019 15:20 PM

Uniform convergence with uniform bound on second derivatives implies $C^1$ convergence.

real-analysis uniform-convergence
Updated February 17, 2019 15:20 PM

Computations with complex numbers

complex-analysis complex-numbers
Updated February 17, 2019 15:20 PM

Convergence of Euler's definition of the Gamma function

complex-analysis convergence gamma-function
Updated February 17, 2019 15:20 PM

Does showing term-by-term differentiation of a series via uniform convergence imply that the series defines an infinitely differentiable function?

calculus real-analysis convergence power-series uniform-convergence
Updated February 17, 2019 15:20 PM

Cover $\lambda_n$-null set with small cubes

real-analysis measure-theory
Updated February 17, 2019 15:20 PM

If all the roots of a polynomial P(z) have negative real parts, prove that all the roots of P'(z) also have negative real parts

complex-analysis polynomials analyticity
Updated February 17, 2019 14:20 PM

Properties of a step function

functional-analysis functions symmetry symmetric-functions
Updated February 17, 2019 13:20 PM

Calculate: $lim_m\rightarrow\infty (1+\frac{1}{m})^m$

real-numbers eulers-constant
Updated February 17, 2019 13:20 PM

how functional reduce to Y(x,y,y') = y(x) + e x n(x)

real-analysis complex-analysis functional-analysis vector-analysis geometric-functional-analysis
Updated February 17, 2019 13:20 PM

Offset correction after weighted average

geometry graph-theory applications regression-analysis
Updated February 17, 2019 13:20 PM

Strong limit of operator to spectral projection

functional-analysis operator-theory
Updated February 17, 2019 12:20 PM

How i x j= k (vector) BUT ixj = (i)(j) (sin90) = (1)(1)(1) = 1 (Scalar)

vector-spaces vector-analysis vector-bundles vector-fields
Updated February 17, 2019 12:20 PM

Convert numbers between 0 and infinity to numbers between 0.0 and 1.0

number-theory real-numbers number-line
Updated February 17, 2019 12:20 PM

What is the function you get when you double the arguments of sin and cos in the Fourier Series of another function?

real-analysis analysis pde fourier-analysis
Updated February 17, 2019 11:20 AM

$\sum_{\omega\in \mathbb{Z}(i)^*} |\omega|^{-2}$ does not converge.

complex-analysis convergence elliptic-functions
Updated February 17, 2019 11:20 AM

Show that if $\phi \circ T$ is bounded for every $\phi\in Y^*$ then $T$ is bounded

functional-analysis unbounded-operators
Updated February 17, 2019 11:20 AM

second order homogeneous differential equation method

real-analysis ordinary-differential-equations
Updated February 17, 2019 11:20 AM

Example of a function which is continuous and $1$-periodic but not differentiable

real-analysis
Updated February 17, 2019 10:20 AM

Preimage of continuous one-to-one function on connected domain is not continuous.

real-analysis general-topology analysis continuity metric-spaces
Updated February 17, 2019 09:20 AM

Exercise 36 Ch 1 in Stein's Real Analysis

real-analysis measure-theory lebesgue-measure
Updated February 17, 2019 09:20 AM

Differentation of vector

calculus multivariable-calculus vector-analysis
Updated February 17, 2019 09:20 AM

∫^∞_-∞ δ(x) ψ(x) dx= Constant

functional-analysis
Updated February 17, 2019 09:20 AM

I am stuck somewhere in this analysis problem

real-analysis continuity
Updated February 17, 2019 08:20 AM

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