It takes the average reader 2 hours and 22 minutes to read H[lemniscate] Functional Calculus and Square Functions on Noncommutative L[superscript P]- Spaces by Marius Junge
Assuming a reading speed of 250 words per minute. Learn more
We investigate sectorial operators and semigroups acting on noncommutative Lp-spaces. We introduce new square functions in this context and study their connection with H[infinity] functional calculus, extending some famous work by Cowling, Doust, McIntoch and Yagi concerning commutative Lp-spaces. This requires natural variants of Rademacher sectoriality and the use of the matricial structure of noncommutative Lp-spaces. We mainly focus on noncommutative diffusion semigroups. We discuss several examples of such semigroups for which we establish bounded H[infinity] functional calculus and square function estimates. This includes semigroups generated by certain Hamiltonians or Schur multipliers, q-Ornstein-Uhlenbeck semigroups acting on the q-deformed von Neumann algebras of Bozejko-Speicher, and the noncommutative Poisson semigroup acting on the group von Neumann algebra of a free group.
H[lemniscate] Functional Calculus and Square Functions on Noncommutative L[superscript P]- Spaces by Marius Junge is 138 pages long, and a total of 35,604 words.
This makes it 47% the length of the average book. It also has 44% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 14 minutes to read H[lemniscate] Functional Calculus and Square Functions on Noncommutative L[superscript P]- Spaces aloud.
H[lemniscate] Functional Calculus and Square Functions on Noncommutative L[superscript P]- Spaces is suitable for students ages 10 and up.
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