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Aug
18
revised Disk in $\mathbb R^2$ with uniform norm
added 66 characters in body
Aug
18
answered Disk in $\mathbb R^2$ with uniform norm
Aug
16
awarded  Peer Pressure
Aug
16
comment Complete eigen-vector basis from non invertible linear application
No. It means, you need more information about your operator $O$. You may very well have an operator such that it's impossible to find such a basis. Then again you may have an operator that has such a basis. You must specify additional assumptions to guarantee that a basis of eigenvectors exists, and likewise additional assumptions to conclude that no such basis exists.
Aug
16
comment Complete eigen-vector basis from non invertible linear application
@aayyachi See the edit. The answer is that without more information, your question has no definite answer.
Aug
16
revised Complete eigen-vector basis from non invertible linear application
added 453 characters in body
Aug
16
comment Complete eigen-vector basis from non invertible linear application
@aayyachi I believe it does, unless I have interpreted your question incorrectly. This is a Hilbert space ($\mathbb{R}^4$) and a non-invertible linear operator ($A$) acting on the Hilbert space such that no collection of its eigenvectors forms a basis for the Hilbert space.
Aug
16
answered Complete eigen-vector basis from non invertible linear application
Aug
16
comment Dual Space Isomorphism
@Henry Welcome to MSE! You'll notice that I've improved the formatting of your question by using TeX. If you intend to be a continued user of MSE, it may be worth learning the basics of TeX. You can see how I made the changes by attempting to edit your question.
Aug
16
revised Dual Space Isomorphism
MathJaX
Aug
16
revised Why this formula doesn't work for $n=1$?
added 207 characters in body
Aug
16
answered Does orthogonal decomposition characterize direct sums in Hilbert space?
Aug
16
answered Why this formula doesn't work for $n=1$?
Aug
15
revised Are there any significant differences between studying functional analysis from a normed space perspective versus a metric space perspective?
added 424 characters in body
Aug
15
answered Are there any significant differences between studying functional analysis from a normed space perspective versus a metric space perspective?
Aug
11
revised Existence of an interpolator of a finite data
Removed [interpolation-theory] tag
Aug
3
revised interpolation-theory wiki description
suggested initial tag wiki
Aug
3
reviewed Close Find the value of the question below
Aug
3
reviewed Leave Open Modulus Problem
Aug
3
reviewed Reject Finding all ideals in a finite ring