ΙΩΑΝΝΗΣ Α. ΠΟΛΥΡΑΚΗΣ

ΙΩΑΝΝΗΣ Α. ΠΟΛΥΡΑΚΗΣ
Ομότιμος Καθηγητής Ε.Μ.Π.

ΒΙΟΓΡΑΦΙΕΣ

Βιογραφικό
ΨΗΦ. Ιωάννης Α. Πολυράκης

ΣΦΑΚΙΑΝΟΙ ΕΠΙΣΤΗΜΟΝΕΣ. ΙΩΑΝΝΗΣ Α. ΠΟΛΥΡΑΚΗΣ

ΑΡΘΡΑ

O ΞΗΡΟΥΧΗΣ ΧΑΡΙΣΟΣ

Ο ΚΑΠΕΤΑΝ ΒΑΡΔΙΝΟΓΙΑΝΝΗΣ

ΒΙΒΛΙΑ

Ι. Α. Πολυράκης, Συνήθεις Διαφορικές Εξισώσεις. Αθήνα 1989

Ι. Α. Πολυράκης, Διαφορική Γεωμετρία. Αθήνα 1998

I. Πολυράκης, Εισαγωγή στη Mαθηματική Xρηματοοικονομία. Πανεπιστημιακές Εκδόσεις, Αθήνα 2010.

Ιωάννης Πολυράκης, Θέματα Ανάλυσης και Θεωρία Γενικής Ισορροπίας στην Οικονομία. Αθήνα 2018

ΜΕΛΕΤΕΣ

Οι εργασίες του Ι. Πολυράκη στη Zentralblatt MATH
Polyrakis

1983

I. A. Polyrakis, Lattice Banach spaces order-isomorphic to ℓ1, Mathematical Proceedings Cambridge Philosophical Society 44,(1983) 519-522
ΨΗΦ. Ιωάννης Α. Πολυράκης

1984

I. A. Polyrakis, Extreme points of unbounded, closed and convex sets in Banach spaces, Mathematical Proceedings Cambridge Philosophical Society 95 (1984) 319-323.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1986

I. A. Polyrakis , Strongly exposed points in bases for the positive cone of ordered Banach spaces and characterization of ℓ1(Γ), Proceedings Edinburgh Mathematical Society, 29,(1986) 271-282.
ΨΗΦ. Ιωάννης Α. Πολυράκης

I. A. Polyrakis, Strongly exposed points and a characterization of ℓ1(Γ) by the Schur Property, Proceedings Edinburgh Mcthematical Society, 36, (1986) 397-400.
ΨΗΦ. Ιωάννης Α. Πολυράκης

. I. A. Polyrakis, Cones locally isomorphic to the positive cone of ℓ1(Γ), Linear Algebra and Its Applications, 44 (1986) 423-314.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1987

I. A. Polyrakis, Schauder bases in locally solid lattice Banach spaces, Mathematical Proceedings Cambridge Philosophical Society 101,(1987) 91-105.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1989

N. Hadjisavvas, D. Kravvaritis, G. Pantelidis and I. Polyrakis, Hereditary Order Convexity in L(X, Y ), Rendiconti del Circolo Matematico di Palermo, Serie II, Tomo XXXVIII (1989) 130-139.

N. Hadjisavvas, D. Kravvaritis, G. Pantelidis and I. Polyrakis, Nonlinear monotone operators with Values in L(X, Y ), Journal of Mathematical Analysis and its Applications, 140 (1989) No 1, 83-94.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1994

I. A. Polyrakis, Lattice-subspaces of C[0, 1] and positive bases, Journal of Mathematical Analysis and Applications, 184 (1994) 1-18.
ΨΗΦ. Ιωάννης Α. Πολυράκης

N. Hadjisavvas, D. Kravvaritis, I. Polyrakis, Weakly compact Subspaces of L1(µ, X) and bvca(Σ, X), Rendiconti del Circolo Matematico di Palermo, Serie II, Volume XLIII (1994)199-152.

Y. A. Abramovich and C. D. Aliprantis and I. A. Polyrakis, Iattice-subspaces and positive projections, Proc. R. Ir. Acad. 14 A, number 2 (1994) 237-253.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1995

I. A. Polyrakis, The Radon-Nikodym property in ordered Banach spaces, J. Math. Anal. Apll 192, 381-391(1995)
ΨΗΦ. Ιωάννης Α. Πολυράκης

I. A. Polyrakis, Cone characterization of reflexive Banach lattices, Glaskov Math. Journal,37 (1995) 65-67.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1996

Y. A. Abramovich, C. D. Aliprantis and I. A. Polyrakis, Some Remarks on Surjective and Bounded Below Operators Atti Sem. Mat. Fis. Univ. Modena, volume XLIV (1996) 455-464.

I. A. Polyrakis, Finite-dimentional lattice-subspaces of C(Ω) and curves of Rn, Transactions of the American Mathematical Society, 348, no 7 (1996) 2793-2810.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1998

C. D. Aliprantis, D. Brown, I. Polyrakss and J. Werner, Yudin Cones and Inductive Limits Topologies, Atti Sem. Mat. Fis. Univ. Modena, volume XLVI, (1998) 389-499.

C. D. Aliprantis and D. Brown and I. Polyrakis and J. Werner, Portfolio Dominance and Optimality in Infinite Security Markets, Journal of Mathematical Economics, 30 (1998) 347-366.

I. A. Polyrakis, Finite-dimentional lattice-subspaces of C(Ω) and curves of Rn, Transactions of the American Mathematical Society, 348, no 7 (1996) 2793-2810.
ΨΗΦ. Ιωάννης Α. Πολυράκης

1999

I. A. Polyrakis, Minimal lattice-subspaces, Transactions of the American Mathematical Society, 351 (1999) 4183-4203.
ΨΗΦ. Ιωάννης Α. Πολυράκης

2000

I. A. Polyrakis, Spaces with dual order-isomorphic to ℓ1, Positivity, 4 (2000) 197-201.

2001

I. A. Polyrakis, Bases for cones and reflexivity in Banach spaces, Quaestiones Mathematicae, 24 (2001) 165-173.

2002

I. A. Polyrakis, Lattice-subspaces and Positive Bases. An Application in Economics , Atti Sem. Mat. Fis. Univ. Modena, volume L, (2002), no. 2, 327-348.
ΨΗΦ. Ιωάννης Α. Πολυράκης

C. D. Aliprantis I. Polyrakis and R. Tourky, The Cheapest Hedge, Journal of Mathematical Economics, Volume 37, Issue 4 (2002) 269-295.
ΨΗΦ. Ιωάννης Α. Πολυράκης

2003

A. Polyrakis, Linear Optimization in C(Ω) and portfolio insurance, Optimization, Vol.52, No.2 (2003) 221-239.
ΨΗΦ. Ιωάννης Α. Πολυράκης

I. A. Polyrakis, Lattice-subspaces and Positive Bases in Function Spaces, Positivity 7 (2003), no. 4, 267-284.

I. A. Polyrakis, The Structure of Lattice-Subspaces, Positivity 7 (2003), no. 1-2, 23-32.

2004

I. A. Polyrakis, Embeddability of L1(µ) in dual spaces and a characterization of c0, Journal of Mathematical Analysis and Applications, 289,(2004)126-142.
ΨΗΦ. Ιωάννης Α. Πολυράκης

I. A. Polyrakis, Cones and Geometry of Banach spaces. Atti Sem. Mat. Fis. Univ. Modena, LII (2004)193-211.
ΨΗΦ. Ιωάννης Α. Πολυράκης

I. A. Polyrakis, A characterization of ℓ+1 (Γ), Quaestiones Mathematicae, 27 (2004), no. 2, 99-109

2006

C. Kountzakis and I. Polyrakis, Geometry of cones with applications in the Existence of Pareto efficient points, Journal of Mathematical Analysis and Applications, 320 (2006)340-351.

C. Kountzakis and I. Polyrakis, The completion of security markets, Decisions in Economics and Finance, 29 (2006) 1-21.

B. Katsikis and I. Polyrakis, Positive Bases in ordered subspaces with the Riesz decomposition property, Studia Mathematica 174 (2006) 233-253.
ΨΗΦ. Ιωάννης Α. Πολυράκης
ΨΗΦ. Ιωάννης Α. Πολυράκης

2008

I. Polyrakis, Demand functions and reflexivity, Journal of Mathematical Analysis and Applications, 338, Issue 1, (2008) 695-704.
ΨΗΦ. Ιωάννης Α. Πολυράκης
ΨΗΦ. Ιωάννης Α. Πολυράκης

2011

I. Polyrakis, F. Xanthos, Maximal submarkets that replicate any option, Annals of Finance, (2011)7:407-423.
ΨΗΦ. Ιωάννης Α. Πολυράκης

I. Polyrakis, F. Xanthos, Cone characterization of Grothendieck spaces and Banach spaces containing c0”, Positivity, Vol.15 (2011) 677-693.
ΨΗΦ. Ιωάννης Α. Πολυράκης

2012

C. Kountzakis, I. Polyrakis, F. Xanthos, Non-replicated options, Mathematical Finance 22, No. 3, 569-584 (2012).
ΨΗΦ. Ιωάννης Α. Πολυράκης
ΨΗΦ. Ιωάννης Α. Πολυράκης

B. Katsikis and I. Polyrakis, Computation of vector sublattices and minimal lattice-subspaces of Rk. Applications in Finance. Applied Mathematics and Computation, Vol. 218, Is. 12 (2012) 6860-6873
ΨΗΦ. Ιωάννης Α. Πολυράκης

2013

I. Polyrakis, F. Xanthos, Grothendieck ordered Banach spaces with an interpolation Property, Proceedings of the American Mathematical Society, Vol.141,n.5 (2013)1651-1661.
ΨΗΦ. Ιωάννης Α. Πολυράκης

E. Casini, E. Miglierina, I. Polyrakis, F. Xanthos, Reflexive Cones, Positivity Vol.17 Is.3 (2013) 911-933.
ΨΗΦ. Ιωάννης Α. Πολυράκης

C. Kountzakis, I. Polyrakis, Coherent Risk Measures in general Economic models and Price Bubbles, Journal of Mathematical Economics, 49(2013) 201-209.
ΨΗΦ. Ιωάννης Α. Πολυράκης

2017

A. Achille, M.-G. Graziano, M. Papadaki, I. Polyrakis, Cones with semi-interior points and equilibrium, Journal of Mathematical Economics, Vol.71, August 2017, 36-48.
ΨΗΦ. Ιωάννης Α. Πολυράκης

2020

I. A. Polyrakis, Atomic sublattices and basic derivatives in finance, Positivity 24, No. 4, 1061-1080 (2020)

I. A. Polyrakis, The NMF problem and Lattice-Subspaces, Linear Algebra and its Applications 602 (2020) 1-32.
ΨΗΦ. Ιωάννης Α. Πολυράκης

ON LINE
Ioannis A. Polyrakis, Some topics on the theory of cones
POSITIVITY 2013, 22-26 July, Leiden, The Netherlands
ΨΗΦ. Ιωάννης Α. Πολυράκης

Mail Antreas P. Hatzipolakis