Results 1 to 10 of about 1,410,787 (113)

One functional operator inversion formula

Mathematical Modelling and Analysis, 2001
Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
doaj   +1 more source

Monogenic Functions in Commutative Algebras Associated with Classical Equations of Mathematical Physics [PDF]

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Meta-Operational Mathematics on Operator Algebras: From Commutative to Noncommutative Settings

This paper develops a systematic extension of Meta-Operational Mathematics to the realm of operator algebras, encompassing both commutative and noncommutative settings. We elevate operations on C*-algebras and von Neumann algebras to the status of independent mathematical objects, and study meta-operations---composition, involution, exponentiation ...
openaire   +1 more source

Unified Analytic Solution of Polynomial Equations in Non-Commutative C*-Algebraic Closure: A Comprehensive Extension from Clifford Algebras with Complete Mathematical Foundations

This paper presents a comprehensive extension of the differential and algebraic framework for solving polynomial equations from Clifford algebras to the more general setting of non-commutative C* algebras. We systematically address the fundamental challenges posed by non-commutativity and infinite dimensional structure through the rigorous introduction
openaire   +2 more sources

Unified Analytic Solution of Polynomial Equations in Non-Commutative Weyl Algebraic Closure: A Comprehensive Treatment with Complete Mathematical Foundations

This paper presents a comprehensive extension of the differential and algebraic framework for solving polynomial equations to the setting of non-commutative Weyl algebras. We directly confront the fundamental obstacles posed by non-commutativity through the introduction of a rigorously defined Weyl-ordering operator PW that projects onto the symmetric ...
openaire   +1 more source

Unified Analytic Solution of Polynomial Equations in Non-Commutative Von Neumann Algebraic Closure: A Comprehensive Treatment with Complete Mathematical Foundations

This paper presents a comprehensive extension of the differential and vector algebraic framework for solving polynomial equations to the setting of non-commutative von Neumann algebras. We directly confront the fundamental obstacles posed by noncommutativity and infinite-dimensionality through the introduction of a rigorously defined trace-path ...
openaire   +1 more source

R. Y. Sharp, Steps in commutative algebra (London Mathematical Society Student Texts 19, Cambridge University Press, Cambridge1990) pp. xii + 321, cloth 0 521 39338 8, £30, paper 0 521 39732 4, £10.95. [PDF]

Proceedings of the Edinburgh Mathematical Society, 1992
openaire   +1 more source

On dense ideals in commutative Banach algebras(Communication in commutative Banach algebras and several field of mathematics)

On dense ideals in commutative Banach algebras(Communication in commutative Banach algebras and several field of mathematics)
openaire   +1 more source

Renormalized Dissipative Solutions and Applications(Communication in commutative Banach algebras and several field of mathematics)

Renormalized Dissipative Solutions and Applications(Communication in commutative Banach algebras and several field of mathematics)
openaire   +1 more source

Monomial curves associated with balanced semigroups(Communication in commutative Banach algebras and several field of mathematics)

Monomial curves associated with balanced semigroups(Communication in commutative Banach algebras and several field of mathematics)
openaire   +1 more source