eBook ISBN:  9780821881064 
Product Code:  CONM/427.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821881064 
Product Code:  CONM/427.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 427; 2007; 442 ppMSC: Primary 46; 47; 16; 17
The Fifth International Conference on Topological Algebras and Applications was held in Athens, Greece, from June 27th to July 1st of 2005. The main topic of the Conference was general theory of topological algebras and its various applications, with emphasis on the “nonnormed” case. In addition to the study of the internal structure of nonnormed, and even nonlocally convex topological algebras, there are applications to other branches of mathematics, such as differential geometry of smooth manifolds, and mathematical physics, such as quantum relativity and quantum cosmology. Operator theory of unbounded operators and related nonnormed topological algebras are intensively studied here. Other topics presented in this volume are topological homological algebra, topological algebraic geometry, sheaf theory and \(K\)theory.
ReadershipGraduate students and research mathematicians interested in topological algebras.

Table of Contents

Articles

Z. Abdelali and M. Chidami — Topologisation et multiplication dans certaines algèbres [ MR 2326337 ]

Mart Abel — On SerreSwanMallios theorem [ MR 2326338 ]

Mati Abel — Topological algebras with idempotently pseudoconvex von Neumann bornology [ MR 2326339 ]

Maryam Amyari and Mohammad Sal Moslehian — HyersUlamRassias stability of derivations on Hilbert $C^*$modules [ MR 2326340 ]

Jorma Arhippainen — On extensions of StoneWeierstrass theorem [ MR 2326341 ]

Hugo Arizmendi, Angel Carrillo and Lourdes Palacios — On $Q_t$algebras [ MR 2326342 ]

Fabio Bagarello — Some results on the algebraic approach to quantum dynamics [ MR 2326343 ]

Subhash J. Bhatt — Topological algebras and differential structures in $C^*$algebras [ MR 2326344 ]

S. J. Bhatt, A. Inoue and H. Ogi — On $C^*$spectrality of locally convex $\ast $algebras in $C^*$algebras [ MR 2326345 ]

Dimitrios G. Birbas — Pták function, positive elements and the positive cone of a unital LC $\ast $algebra [ MR 2326346 ]

José Bonet — Topologizable operators on locally convex spaces [ MR 2326347 ]

A. J. Calderón Martín and Marina Haralampidou — On locally convex $H^*$triple systems [ MR 2326348 ]

M. Chahboun — Harmonic functional calculus in $m\text {}p$complete $A\text {}p$normed algebras [ MR 2326349 ]

Rachid Choukri — A concept of finiteness in topological algebras [ MR 2326350 ]

Thanassis Chryssakis — Square roots of strongly positive elements in lmc algebras [ MR 2326351 ]

A. El Kinani — Harmonic functions operating on contractions in $m$convex algebras [ MR 2326352 ]

A. El Kinani, M. A. Nejjari and M. Oudadess — Some characterizations using cone notions in $m$convex algebras [ MR 2326353 ]

M. Fragoulopoulou, A. Inoue and K.D. Kürsten — On the completion of a $C^*$normed algebra under a locally convex algebra topology [ MR 2326354 ]

Rodia I. Hadjigeorgiou — On Šilov’s idempotent theorem [ MR 2326355 ]

Marina Haralampidou — On generalized Ambrose algebras [ MR 2326356 ]

A. Ya. Helemskii — Tensor products in quantum functional analysis: the nonmatricial approach [ MR 2326357 ]

Atsushi Inoue, M. Takakura and H. Ogi — Unbounded conditional expectations for $O^*$algebras [ MR 2326358 ]

Maria Joiţa — A RadonNikodým theorem for completely multipositive linear maps and its applications [ MR 2326359 ]

Arne Kokk — Commutativity criteria for GelfandMazur algebras [ MR 2326360 ]

Gerd Lassner — Topological algebras and quantum cosmology [ MR 2326361 ]

A. Lazraq Khlass and M. Oudadess — Representation of extensions, of $\Bbb C$, endowed with a discrete absolute value [ MR 2326362 ]

Michael Leinert — Another proof of the ShiraliFord theorem [ MR 2326363 ]

Anastasios Mallios — On algebra spaces [ MR 2326364 ]

Anastasios Mallios and Ali Oukhouya — On combinatorially regular topological algebras [ MR 2326365 ]

Abdelhak Najmi — Topological algebras with continuous characters [ MR 2326366 ]

George F. Nassopoulos — Spectral decomposition and duality in commutative locally $C^*$algebras [ MR 2326367 ]

L. Oubbi — Locally $A$convex algebras revisited [ MR 2326368 ]

Mohamed Oudadess — On different versions of VidavPalmer theorem [ MR 2326369 ]

Ali Oukhouya — On combinatorially regular Fréchet algebra [ MR 2326370 ]

Olga Panova — Description of closed maximal onesided ideals in several classes of real GelfandMazur algebras [ MR 2326371 ]

A. Yu. Pirkovskii — Strictly flat cyclic Fréchet modules and approximate identities [ MR 2326372 ]

Alexei Yu. Pirkovskii and Yurii V. Selivanov — Homologically trivial Fréchet algebras [ MR 2326373 ]

Christina P. Podara — On strictly flat Fréchet modules [ MR 2326374 ]

N. V. Rao, T. V. Tonev and E. T. Toneva — Uniform algebra isomorphisms and peripheral spectra [ MR 2326375 ]

Camillo Trapani — Bounded and strongly bounded elements in Banach quasi $\ast $algebras [ MR 2326376 ]

Yannis Tsertos — On dual coordinate systems [ MR 2326377 ]

Wieslaw Żelazko — Operator algebras on locally convex spaces [ MR 2326378 ]


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The Fifth International Conference on Topological Algebras and Applications was held in Athens, Greece, from June 27th to July 1st of 2005. The main topic of the Conference was general theory of topological algebras and its various applications, with emphasis on the “nonnormed” case. In addition to the study of the internal structure of nonnormed, and even nonlocally convex topological algebras, there are applications to other branches of mathematics, such as differential geometry of smooth manifolds, and mathematical physics, such as quantum relativity and quantum cosmology. Operator theory of unbounded operators and related nonnormed topological algebras are intensively studied here. Other topics presented in this volume are topological homological algebra, topological algebraic geometry, sheaf theory and \(K\)theory.
Graduate students and research mathematicians interested in topological algebras.

Articles

Z. Abdelali and M. Chidami — Topologisation et multiplication dans certaines algèbres [ MR 2326337 ]

Mart Abel — On SerreSwanMallios theorem [ MR 2326338 ]

Mati Abel — Topological algebras with idempotently pseudoconvex von Neumann bornology [ MR 2326339 ]

Maryam Amyari and Mohammad Sal Moslehian — HyersUlamRassias stability of derivations on Hilbert $C^*$modules [ MR 2326340 ]

Jorma Arhippainen — On extensions of StoneWeierstrass theorem [ MR 2326341 ]

Hugo Arizmendi, Angel Carrillo and Lourdes Palacios — On $Q_t$algebras [ MR 2326342 ]

Fabio Bagarello — Some results on the algebraic approach to quantum dynamics [ MR 2326343 ]

Subhash J. Bhatt — Topological algebras and differential structures in $C^*$algebras [ MR 2326344 ]

S. J. Bhatt, A. Inoue and H. Ogi — On $C^*$spectrality of locally convex $\ast $algebras in $C^*$algebras [ MR 2326345 ]

Dimitrios G. Birbas — Pták function, positive elements and the positive cone of a unital LC $\ast $algebra [ MR 2326346 ]

José Bonet — Topologizable operators on locally convex spaces [ MR 2326347 ]

A. J. Calderón Martín and Marina Haralampidou — On locally convex $H^*$triple systems [ MR 2326348 ]

M. Chahboun — Harmonic functional calculus in $m\text {}p$complete $A\text {}p$normed algebras [ MR 2326349 ]

Rachid Choukri — A concept of finiteness in topological algebras [ MR 2326350 ]

Thanassis Chryssakis — Square roots of strongly positive elements in lmc algebras [ MR 2326351 ]

A. El Kinani — Harmonic functions operating on contractions in $m$convex algebras [ MR 2326352 ]

A. El Kinani, M. A. Nejjari and M. Oudadess — Some characterizations using cone notions in $m$convex algebras [ MR 2326353 ]

M. Fragoulopoulou, A. Inoue and K.D. Kürsten — On the completion of a $C^*$normed algebra under a locally convex algebra topology [ MR 2326354 ]

Rodia I. Hadjigeorgiou — On Šilov’s idempotent theorem [ MR 2326355 ]

Marina Haralampidou — On generalized Ambrose algebras [ MR 2326356 ]

A. Ya. Helemskii — Tensor products in quantum functional analysis: the nonmatricial approach [ MR 2326357 ]

Atsushi Inoue, M. Takakura and H. Ogi — Unbounded conditional expectations for $O^*$algebras [ MR 2326358 ]

Maria Joiţa — A RadonNikodým theorem for completely multipositive linear maps and its applications [ MR 2326359 ]

Arne Kokk — Commutativity criteria for GelfandMazur algebras [ MR 2326360 ]

Gerd Lassner — Topological algebras and quantum cosmology [ MR 2326361 ]

A. Lazraq Khlass and M. Oudadess — Representation of extensions, of $\Bbb C$, endowed with a discrete absolute value [ MR 2326362 ]

Michael Leinert — Another proof of the ShiraliFord theorem [ MR 2326363 ]

Anastasios Mallios — On algebra spaces [ MR 2326364 ]

Anastasios Mallios and Ali Oukhouya — On combinatorially regular topological algebras [ MR 2326365 ]

Abdelhak Najmi — Topological algebras with continuous characters [ MR 2326366 ]

George F. Nassopoulos — Spectral decomposition and duality in commutative locally $C^*$algebras [ MR 2326367 ]

L. Oubbi — Locally $A$convex algebras revisited [ MR 2326368 ]

Mohamed Oudadess — On different versions of VidavPalmer theorem [ MR 2326369 ]

Ali Oukhouya — On combinatorially regular Fréchet algebra [ MR 2326370 ]

Olga Panova — Description of closed maximal onesided ideals in several classes of real GelfandMazur algebras [ MR 2326371 ]

A. Yu. Pirkovskii — Strictly flat cyclic Fréchet modules and approximate identities [ MR 2326372 ]

Alexei Yu. Pirkovskii and Yurii V. Selivanov — Homologically trivial Fréchet algebras [ MR 2326373 ]

Christina P. Podara — On strictly flat Fréchet modules [ MR 2326374 ]

N. V. Rao, T. V. Tonev and E. T. Toneva — Uniform algebra isomorphisms and peripheral spectra [ MR 2326375 ]

Camillo Trapani — Bounded and strongly bounded elements in Banach quasi $\ast $algebras [ MR 2326376 ]

Yannis Tsertos — On dual coordinate systems [ MR 2326377 ]

Wieslaw Żelazko — Operator algebras on locally convex spaces [ MR 2326378 ]