# Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball

@inproceedings{Salomon2017AlgebrasOB, title={Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball}, author={Guy Salomon and Orr Shalit and Eli Shamovich}, year={2017} }

- Published 2017
DOI:10.1090/tran/7308

We study algebras of bounded, noncommutative (nc) analytic functions on nc subvarieties of the nc unit ball. Given an nc variety V in the nc unit ball Bd, we identify the algebra of bounded analytic functions on V — denoted H∞(V) — as the multiplier algebra MultHV of a certain reproducing kernel Hilbert space HV consisting of nc functions on V. We find that every such algebra H∞(V) is completely isometrically isomorphic to the quotient H(Bd)/JV of the algebra of bounded nc holomorphic functions… CONTINUE READING

#### From This Paper

##### Topics from this paper.

#### Citations

##### Publications citing this paper.

Highly Influenced

5 Excerpts

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 85 REFERENCES

Highly Influential

7 Excerpts

Highly Influential

17 Excerpts

Highly Influential

10 Excerpts

Highly Influential

6 Excerpts

Highly Influential

7 Excerpts

Highly Influential

24 Excerpts

Highly Influential

7 Excerpts

Highly Influential

4 Excerpts

Highly Influential

9 Excerpts

Highly Influential

21 Excerpts

#### Similar Papers

Loading similar papers…