Bass and topological stable ranks of complex and real algebras of measures, functions and sequences
DOI10.1007/s11785-009-0009-1zbMath1211.46056OpenAlexW2089395863MaRDI QIDQ1958691
Kalle M. Mikkola, Amol J. Sasane
Publication date: 4 October 2010
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-009-0009-1
almost periodic functionsbounded analytic functionstopological stable rankpolydisc algebraBézout domainsparity interlacing propertyCallier-Desoer algebraabsolutely summable sequencesBass stable rangereal-symmetric functions
Input-output approaches in control theory (93D25) Banach algebras of continuous functions, function algebras (46J10) Algebras of holomorphic functions of several complex variables (32A38) Measure algebras on groups, semigroups, etc. (43A10) Stable range conditions (19B10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable range in Banach algebras
- Extension problems and stable rank in commutative Banach algebras
- Factorization of matrix functions and singular integral operators
- Stabilization of a distributed system with a stable compensator
- The stable rank of the algebra \(H^ \infty\) equals 1
- The stable rank of topological algebras and a problem of R. G. Swan
- Stable rank of finitely generated algebras
- Spectral characteristics and stable ranks for the Sarason algebra \(H^\infty + C\)
- The stable range of \(C^*\)-algebras
- \(K\)-theory and stable algebra
- Stable Rank of the Disc Algebra
- Generalized Analytic Functions
- Dimension and Stable Rank in the K -Theory of C* -Algebras
- Stable rank of holomorphic function algebras
- Stable Rank of Subalgebras of the Ball Algebras
- A note about stabilization in A ℝ (𝔻)
- Finitely generated ideals in certain algebras of transfer functions for infinite-dimensional systems
- Dense Morphisms in Commutative Banach Algebras
- An algebra of transfer functions for distributed linear time-invariant systems
- Topological Examples of Projective Modules
- Algebraic and topological aspects of feedback stabilization
- Almost periodic factorization and corona theorem
- An example of a subalgebra of $H^{∞}$ on the unit disk whose stable rank is not finite
- On a General Structure of the Stabilizing Controllers Based on Stable Range
- On the denseness of the invertible group in Banach algebras
- The algebra of almost periodic functions has infinite topological stable rank
- Trivial Gleason parts and the topological stable rank of H infinity