## Mallios, Anastasios

Compute Distance To:
 Author ID: mallios.anastasios Published as: Mallios, Anastasios; Mallios, A.; Mallios, Anast. more...less External Links: MGP · dblp · GND
 Documents Indexed: 68 Publications since 1960, including 6 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 5 Publications Co-Authors: 10 Co-Authors with 22 Joint Publications 53 Co-Co-Authors
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### Co-Authors

 48 single-authored 4 Ntumba, Patrice Pungu 4 Oukhouya, Ali 3 Raptis, Ioannis A. 3 Rosinger, Elemer E. 3 Zafiris, Elias 2 Haralampidou, Marina 1 Abel, Mart 1 Conte-Thrasyvoulidou, Anna 1 Daoultzi-Malamou, Zoi 1 Kappos, Demetrios A. 1 Lassner, Gerd
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### Serials

 8 Journal of Mathematical Analysis and Applications 8 Bulletin Société Mathématique de Grèce. Nouvelle Série 5 International Journal of Theoretical Physics 5 Mathematische Annalen 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Journal of Functional Analysis 2 Note di Matematica 2 Acta Applicandae Mathematicae 2 Scientiae Mathematicae Japonicae 2 Mathematics and its Applications (Dordrecht) 2 Advances in Mathematical Physics 1 Studia Mathematica 1 Bulletin de la Société Royale des Sciences de Liège 1 Mathematica Japonica 1 Quaestiones Mathematicae 1 Bulletin of the Greek Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Praktikà tês Akademías Athēnōn 1 Mediterranean Journal of Mathematics 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Contemporary Mathematics 1 North-Holland Mathematics Studies 1 Series on Concrete and Applicable Mathematics 1 Progress in Mathematical Physics 1 Complex Analysis and Operator Theory 1 Journal of Mathematical Analysis
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### Fields

 33 Functional analysis (46-XX) 18 Category theory; homological algebra (18-XX) 14 Differential geometry (53-XX) 11 Relativity and gravitational theory (83-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 7 Algebraic geometry (14-XX) 7 Algebraic topology (55-XX) 4 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX)

### Citations contained in zbMATH Open

51 Publications have been cited 511 times in 239 Documents Cited by Year
Topological algebras. Selected topics. Zbl 0597.46046
Mallios, Anastasios
1986
Geometry of vector sheaves. An axiomatic approach to differential geometry. Volume I: Vector sheaves. General theory. Zbl 0904.18001
Mallios, Anastasios
1998
Space-time foam dense singularities and de Rham cohomology. Zbl 1005.46020
Mallios, Anastasios; Rosinger, Elemer E.
2001
Abstract differential geometry, differential algebras of generalized functions, and de Rahm cohomology. Zbl 0929.18005
Mallios, Anastasios; Rosinger, Elemér E.
1999
Hermitian K-theory over topological *-algebras. Zbl 0614.46064
Mallios, Anastasios
1985
On an axiomatic treatment of differential geometry via vector sheaves. Applications. Zbl 0910.53013
Mallios, Anastasios
1998
Vector bundles and K-theory over topological algebras. Zbl 0564.18011
Mallios, A.
1983
On the spectrum of a topological tensor product of locally convex algebras. Zbl 0117.09401
Mallios, A.
1964
Modern differential geometry in gauge theories. Vol. I: Maxwell fields. Zbl 1116.18006
Mallios, Anastasios
2005
Quantum gravity and “singularities”. Zbl 1115.83016
Mallios, Anastasios
2006
Tensor products and harmonic analysis. Zbl 0137.31701
Mallios, A.
1965
Geometry and physics today. Zbl 1111.83019
Mallios, Anastasios
2006
Finitary spacetime sheaves of quantum causal sets: curving quantum causality. Zbl 0987.83003
Mallios, A.; Raptis, I.
2001
On functional representations of topological algebras. Zbl 0203.44504
Mallios, A.
1970
On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov. Zbl 0939.53043
Mallios, A.
1999
Heredity of tensor products of topological algebras. Zbl 0139.07503
Mallios, A.
1966
The de Rham-Kähler complex of the Gel’fand sheaf of a topological algebra. Zbl 0805.46046
Mallios, Anastasios
1993
Continuous vector bundles over topological algebras. II. Zbl 0782.46054
Mallios, Anastasios
1988
On an abstract form of Weil’s integrality theorem. Zbl 0818.53028
Mallios, A.
1992
Finitary, causal, and quantal vacuum Einstein gravity. Zbl 1033.83018
Mallios, Anastasios; Raptis, Ioannis
2003
Fundamentals for symplectic $$\mathcal{A}$$-modules. Affine Darboux theorem. Zbl 1211.18011
Mallios, Anastasios; Ntumba, Patrice P.
2009
On the spectra of topological algebras. Zbl 0177.17501
Mallios, A.
1969
On a sheaf-theoretic version of the Witt’s decomposition theorem. A Lagrangian perspective. Zbl 1184.18010
Mallios, Anastasios; Ntumba, Patrice P.
2009
Geometry of vector sheaves. An axiomatic approach to differential geometry. Volume II: Geometry. Examples and applications. Zbl 0904.18002
Mallios, Anastasios
1998
Finitary Čech-de Rham cohomology. Zbl 1015.83013
Mallios, Anastasios; Raptis, Ioannis
2002
On localizing topological algebras. Zbl 1094.46045
Mallios, Anastasios
2004
Abstract differential geometry, singularities, and physical applications. Zbl 1331.58002
Mallios, Anastasios
2002
$$\mathcal{A}$$-invariance: An axiomatic approach to quantum relativity. Zbl 1161.83353
Mallios, Anastasios
2008
On topological algebra sheaves of a nuclear type. Zbl 0233.46060
Mallios, Anastasios
1970
On finitely generated projective modules. Zbl 1196.46036
Mallios, Anastasios; Abel, Mart
2005
Pairings of sheaves of $$\mathcal A$$-modules. Zbl 1164.18002
Mallios, Anastasios; Ntumba, Patrice P.
2008
Spectrum and boundary of topological tensor product algebras. Zbl 0157.20404
Mallios, A.
1967
Continuous vector bundles over topological algebras. Zbl 0659.46064
Mallios, Anastasios
1986
Dense singularities and de Rham cohomology. Zbl 1077.18008
Mallios, Anastasios; Rosinger, Elemer E.
2002
Inductive limits and tensor products of topological algebras. Zbl 0145.16502
Mallios, A.
1967
Note on the tensor products and harmonic analysis. Zbl 0147.33701
Mallios, A.
1967
On geometric topological algebras. Zbl 0805.46047
Mallios, Anastasios
1993
The homological Kähler-de Rham differential mechanism. I: Application in general theory of relativity. Zbl 1219.83037
Mallios, Anastasios; Zafiris, Elias
2011
Homotopy invariants of the spectrum of a topological algebra. Zbl 0614.46063
Mallios, Anastasios
1984
Modern differential geometry in gauge theories. Vol. II: Yang-Mills fields. Zbl 1185.18001
Mallios, Anastasios
2010
Abstract differential geometry, general relativity, and singularities. Zbl 1002.53047
Mallios, Anastasios
2001
Der Integralbegriff in 0-topologischen Verbänden. Zbl 0112.28502
Kappos, D. A.; Mallios, A.
1960
Semi-simplicity of tensor products of topological algebras. Zbl 0157.20403
Mallios, A.
1967
Differential sheaves and connections. A natural approach to physical geometry. Zbl 1344.14001
Mallios, Anastasios; Zafiris, Elias
2016
The homological Kähler-de Rham differential mechanism. II: Sheaf-theoretic localization of quantum dynamics. Zbl 1238.81103
Mallios, Anastasios; Zafiris, Elias
2011
On algebra spaces. Zbl 1122.46034
Mallios, Anastasios
2007
Sur le spectre d’un produit tensoriel infini d’algèbres topologiques. (On the spectrum of an infinite tensor product of topological algebras.). Zbl 0235.46072
Mallios, Anast.
1964
$$K$$-theory of topological algebras and second quantization. Zbl 1160.46318
Mallios, Anastasios
2004
Topological algebras and their applications. Proceedings of the 5th international conference, Athens, Greece, June 27–July 1, 2005. Zbl 1109.46003
2007
On extending $$\mathcal A$$ -modules through the coefficients. Zbl 1269.18007
Mallios, Anastasios; Ntumba, Patrice P.
2013
On the algebra of generalized analytic functions. Zbl 0253.46055
Mallios, Anastasios
1972
Differential sheaves and connections. A natural approach to physical geometry. Zbl 1344.14001
Mallios, Anastasios; Zafiris, Elias
2016
On extending $$\mathcal A$$ -modules through the coefficients. Zbl 1269.18007
Mallios, Anastasios; Ntumba, Patrice P.
2013
The homological Kähler-de Rham differential mechanism. I: Application in general theory of relativity. Zbl 1219.83037
Mallios, Anastasios; Zafiris, Elias
2011
The homological Kähler-de Rham differential mechanism. II: Sheaf-theoretic localization of quantum dynamics. Zbl 1238.81103
Mallios, Anastasios; Zafiris, Elias
2011
Modern differential geometry in gauge theories. Vol. II: Yang-Mills fields. Zbl 1185.18001
Mallios, Anastasios
2010
Fundamentals for symplectic $$\mathcal{A}$$-modules. Affine Darboux theorem. Zbl 1211.18011
Mallios, Anastasios; Ntumba, Patrice P.
2009
On a sheaf-theoretic version of the Witt’s decomposition theorem. A Lagrangian perspective. Zbl 1184.18010
Mallios, Anastasios; Ntumba, Patrice P.
2009
$$\mathcal{A}$$-invariance: An axiomatic approach to quantum relativity. Zbl 1161.83353
Mallios, Anastasios
2008
Pairings of sheaves of $$\mathcal A$$-modules. Zbl 1164.18002
Mallios, Anastasios; Ntumba, Patrice P.
2008
On algebra spaces. Zbl 1122.46034
Mallios, Anastasios
2007
Topological algebras and their applications. Proceedings of the 5th international conference, Athens, Greece, June 27–July 1, 2005. Zbl 1109.46003
2007
Quantum gravity and “singularities”. Zbl 1115.83016
Mallios, Anastasios
2006
Geometry and physics today. Zbl 1111.83019
Mallios, Anastasios
2006
Modern differential geometry in gauge theories. Vol. I: Maxwell fields. Zbl 1116.18006
Mallios, Anastasios
2005
On finitely generated projective modules. Zbl 1196.46036
Mallios, Anastasios; Abel, Mart
2005
On localizing topological algebras. Zbl 1094.46045
Mallios, Anastasios
2004
$$K$$-theory of topological algebras and second quantization. Zbl 1160.46318
Mallios, Anastasios
2004
Finitary, causal, and quantal vacuum Einstein gravity. Zbl 1033.83018
Mallios, Anastasios; Raptis, Ioannis
2003
Finitary Čech-de Rham cohomology. Zbl 1015.83013
Mallios, Anastasios; Raptis, Ioannis
2002
Abstract differential geometry, singularities, and physical applications. Zbl 1331.58002
Mallios, Anastasios
2002
Dense singularities and de Rham cohomology. Zbl 1077.18008
Mallios, Anastasios; Rosinger, Elemer E.
2002
Space-time foam dense singularities and de Rham cohomology. Zbl 1005.46020
Mallios, Anastasios; Rosinger, Elemer E.
2001
Finitary spacetime sheaves of quantum causal sets: curving quantum causality. Zbl 0987.83003
Mallios, A.; Raptis, I.
2001
Abstract differential geometry, general relativity, and singularities. Zbl 1002.53047
Mallios, Anastasios
2001
Abstract differential geometry, differential algebras of generalized functions, and de Rahm cohomology. Zbl 0929.18005
Mallios, Anastasios; Rosinger, Elemér E.
1999
On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov. Zbl 0939.53043
Mallios, A.
1999
Geometry of vector sheaves. An axiomatic approach to differential geometry. Volume I: Vector sheaves. General theory. Zbl 0904.18001
Mallios, Anastasios
1998
On an axiomatic treatment of differential geometry via vector sheaves. Applications. Zbl 0910.53013
Mallios, Anastasios
1998
Geometry of vector sheaves. An axiomatic approach to differential geometry. Volume II: Geometry. Examples and applications. Zbl 0904.18002
Mallios, Anastasios
1998
The de Rham-Kähler complex of the Gel’fand sheaf of a topological algebra. Zbl 0805.46046
Mallios, Anastasios
1993
On geometric topological algebras. Zbl 0805.46047
Mallios, Anastasios
1993
On an abstract form of Weil’s integrality theorem. Zbl 0818.53028
Mallios, A.
1992
Continuous vector bundles over topological algebras. II. Zbl 0782.46054
Mallios, Anastasios
1988
Topological algebras. Selected topics. Zbl 0597.46046
Mallios, Anastasios
1986
Continuous vector bundles over topological algebras. Zbl 0659.46064
Mallios, Anastasios
1986
Hermitian K-theory over topological *-algebras. Zbl 0614.46064
Mallios, Anastasios
1985
Homotopy invariants of the spectrum of a topological algebra. Zbl 0614.46063
Mallios, Anastasios
1984
Vector bundles and K-theory over topological algebras. Zbl 0564.18011
Mallios, A.
1983
On the algebra of generalized analytic functions. Zbl 0253.46055
Mallios, Anastasios
1972
On functional representations of topological algebras. Zbl 0203.44504
Mallios, A.
1970
On topological algebra sheaves of a nuclear type. Zbl 0233.46060
Mallios, Anastasios
1970
On the spectra of topological algebras. Zbl 0177.17501
Mallios, A.
1969
Spectrum and boundary of topological tensor product algebras. Zbl 0157.20404
Mallios, A.
1967
Inductive limits and tensor products of topological algebras. Zbl 0145.16502
Mallios, A.
1967
Note on the tensor products and harmonic analysis. Zbl 0147.33701
Mallios, A.
1967
Semi-simplicity of tensor products of topological algebras. Zbl 0157.20403
Mallios, A.
1967
Heredity of tensor products of topological algebras. Zbl 0139.07503
Mallios, A.
1966
Tensor products and harmonic analysis. Zbl 0137.31701
Mallios, A.
1965
On the spectrum of a topological tensor product of locally convex algebras. Zbl 0117.09401
Mallios, A.
1964
Sur le spectre d’un produit tensoriel infini d’algèbres topologiques. (On the spectrum of an infinite tensor product of topological algebras.). Zbl 0235.46072
Mallios, Anast.
1964
Der Integralbegriff in 0-topologischen Verbänden. Zbl 0112.28502
Kappos, D. A.; Mallios, A.
1960
all top 5

### Cited by 171 Authors

 36 Rendiconti del Circolo Matemàtico di Palermo. Serie II 20 Journal of Mathematical Analysis and Applications 16 Journal of Mathematical Sciences (New York) 13 International Journal of Theoretical Physics 11 Mediterranean Journal of Mathematics 8 Mathematische Annalen 7 Periodica Mathematica Hungarica 7 Rocky Mountain Journal of Mathematics 5 Proceedings of the American Mathematical Society 3 Czechoslovak Mathematical Journal 3 Journal of Functional Analysis 3 $$K$$-Theory 3 Abstract and Applied Analysis 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Complex Analysis and Operator Theory 3 Advances in Mathematical Physics 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 International Journal of General Systems 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Journal of Geometry and Physics 2 Demonstratio Mathematica 2 Integral Equations and Operator Theory 2 Journal of Pure and Applied Algebra 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Acta Applicandae Mathematicae 2 Forum Mathematicum 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Bulletin of the American Mathematical Society 2 Banach Journal of Mathematical Analysis 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 Expositiones Mathematicae 1 Chinese Science Bulletin 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Advances in Applied Clifford Algebras 1 Filomat 1 Opuscula Mathematica 1 The Journal of Fourier Analysis and Applications 1 Algebras and Representation Theory 1 Annales Mathematicae Silesianae 1 Journal of Nonlinear Mathematical Physics 1 Fixed Point Theory and Applications 1 Foundations of Physics 1 Cubo 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Proyecciones 1 Proceedings of the Estonian Academy of Sciences 1 Asian-European Journal of Mathematics 1 Commentationes Mathematicae 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Topological Algebra and its Applications 1 Journal of Linear and Topological Algebra 1 Computational Methods for Differential Equations
 175 Functional analysis (46-XX) 26 Operator theory (47-XX) 24 Category theory; homological algebra (18-XX) 22 Associative rings and algebras (16-XX) 20 Quantum theory (81-XX) 18 Global analysis, analysis on manifolds (58-XX) 14 Relativity and gravitational theory (83-XX) 13 Algebraic geometry (14-XX) 9 Abstract harmonic analysis (43-XX) 9 Differential geometry (53-XX) 6 Commutative algebra (13-XX) 6 General topology (54-XX) 6 Algebraic topology (55-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 Manifolds and cell complexes (57-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 $$K$$-theory (19-XX) 3 Partial differential equations (35-XX) 2 Mathematical logic and foundations (03-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)