A. Sasane

activity

20072022

H^{\infty} (Ω)

for Circular Domains

Ω

5 citations · 15 across the 34 of their papers we have counts for

collaborators

42 papers

math.FA2022

Projective freeness and Hermiteness of complex function algebras

Alexander Brudnyi, Amol Sasane

The paper studies projective freeness and Hermiteness of algebras of complex-valued continuous functions on topological spaces, Stein algebras, and commutative unital Banach algebr…

math.RA2022

On the Gleason-Kahane-Żelazko theorem for associative algebras

Moshe Roitman, Amol Sasane

The classical Gleason-Kahane-Żelazko Theorem states that a linear functional on a complex Banach algebra not vanishing on units, and such that $Λ (1) = 1$ , is multiplicative,…

math.FA2022

Banach algebras of symmetric functions on the polydisc

Amol Sasane

Let $D = {z \in C : ∣ z ∣ < 1}$ and for an integer $d \geq 1$ , let $S_{d}$ denote the symmetric group, consisting of of all permutations of the set ${1, \dots, d}$ . A f…

math.FA2021

The Sylvester equation in Banach algebras

Amol Sasane

Let $A$ be a unital complex semisimple Banach algebra, and $M_{A}$ denote its maximal ideal space. For a matrix $M \in A^{n \times n}$ , $M$ …

math.FA2021

Doubly invariant subspaces of the Besicovitch space

Amol Sasane

A classical result of Norbert Wiener characterises doubly shift-invariant subspaces for square integrable functions on the unit circle with respect to a finite positive Borel measu…

math.FA2021

Generation of the special linear group by elementary matrices in some measure Banach algebras

Amol Sasane

For a commutative unital ring $R$ , and $n \in N$ , let $SL_{n} (R)$ denote the special linear group over $R$ , and $E_{n} (R)$ the subgroup of elementary matrices…