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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

1 vote
1 answer
119 views

Regarding variation of spectra

I have been reading the article The variation of spectra by J.D Newburgh. in this article and all related reference/ articles, the term 'variation of spectra' keeps coming in, but I nowhere find a for …
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0 votes
0 answers
36 views

Regarding significance of spectral variation under algebraic operations

I have been reading the paper Determining elements in $C^∗$-algebras through spectral properties. The paper discusses about what would be the relation be between two elements $a$ and $b$ of a Banach a …
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0 votes
0 answers
193 views

Regarding definition of convex cone and apex

I have been reading about star shaped sets and support cones from this article. I am wondering about the definition of the cone as to why is it defined this way? Why is it $C-a$? I am familiar with th …
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0 votes
0 answers
116 views

Sharp, salient and opposite cones

I have been reading about star shaped sets and support cones from this article. Can anyone please help me with examples the difference between a sharp and dull cone. How come a salient cone has a uniq …
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