A 79-year-old mathematician may have just solved an infinite dimension puzzle that's vexed theorists for decades

SPACE.com ^ | Nathan Brownlowe

[Bratch]

[wally_bert]

I thought I was the only left handed with those characteristics.

[WVNan]

Numbers were never meant to be included with my brain. I’ve always been a word person. I managed somehow to ern a Master’s degree without as little numbers courses. It never seemed to hold me back. Now I can’t recall even the words, much less numbers. I just read and forget it.

[gundog]

[Getready]

Note: in the body of the text are two contradictory statement. One is an obviously copied text link that states that”man didn’t invent math...it is what we are made of” or something close to that.
The other statement says that “when mathematicians can’t solve a problem, they move the goalposts” So, they invent a new math. How is it “what the world is made of” if we have to invent a new version? We clearly are “inventing” something that is not part of the world.
QED

[magooey]

Swedish mathematician Per Enflo, is no ambitious up-and-comer. He is almost 80, has made a name for himself solving open problems,

But the "bien pensants" believe that we are all useless eaters after age 75 and should be expendable past that age. Maybe these opinion leaders are simply wrong.

[SunkenCiv]

Thanks GOPJ. No one is crankier than a vexed theorist.

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[rdl6989]

Lol!!!!!

[AdmSmith]

Cool, it indicates that it is never too late for us to study complicated problems.

In case there are updates they will be published here:
On the invariant subspace problem in Hilbert spaces by Per H. Enflo https://arxiv.org/abs/2305.15442

with a discussion of the paper https://mathoverflow.net/questions/447664/understanding-a-simplifying-assumption-in-invariant-subspace-problem-proof

and a non-technical paper by Mostafa Behtouei:
Invariant Subspace Problem in Hilbert Spaces: Exploring Applications in Quantum Mechanics, Control Theory, Operator Algebras, Functional Analysis and Accelerator Physics

In conclusion, the invariant subspace problem is a fundamental question in operator theory with applications in various branches of mathematics and physics. Its
study provides insights into the behavior of linear operators, quantum systems, and
operator algebras. While the problem remains unsolved in many cases, it continues to stimulate research and uncover new connections between different areas of
mathematics.

https://arxiv.org/pdf/2306.17023.pdf