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Prof.Dr. ÖMER ŞAFAK ALPAY (RETIRED)
FACULTY OF ARTS AND SCIENCES
PublicationsResearchMembership & Awards
E-mail :  
Url :  -
Phone :  +90312210 5380
Fax :  +903122102970
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Education

  Bachelor's, Middle East Technical University, Mathematics
  Master's, University of London, Mathematics
  Doctorate, University of London, Mathematics

Publications (INTERNATIONAL)

Journal Papers

  A.1 Şafak Alpay, Positive generation of operator ideals. "Bulletin of Calcutta Math.Soc.", 77, (1985), p.35-43.
  A.2 Şafak Alpay, On order properties of L(E,F) and operator ideals. "Operator Theory:Advances and Applications", 11, (1988), p.41-52.
  A.3 Şafak Alpay, Collectively compact positive operators. "Revue Roumaine Math.Pure & Appl.", 34, (1989), p.779-793.
  A.4 Şafak Alpay,Bahri Turan, Order properties of the adjoint. "Turkish Journal of Math.", 17, (1993), p.273-279.
  A.5 Şafak Alpay,Bahri Turan, On f-modules. "Revue Roumaine Math.Pure&Appl.", 40, (1995), p.233-241.
  A.6 Safak Alpay-Bahri Turan, On the commutant of the ideal centre. "Note di Mathematica", 18, (2000), p.6369.
  A.7 Safak Alpay-Zafer Ercan, CD_0 (K,E) and CD_u (K,E) spaces as Banach Lattices. "Positivity", 4, (2000), p.213-225.
  A.8 Şafak Alpay-Ayşe Uyar, On local approxımatıon of posıtıve operatorsi, "Dedıcated to Prof.Dr.J.Lehn on the occasıon of hıs 60th bırthday. "Preprınt no 2159,2002", (2002), p.16.
  A.9 Şafak Alpay-Ayşe Uyar, On localızatıon of posıtıve operators. "Demonstratıo Mathematıca", 35, (2002), p.607-620.
  A.10 Alpay safak-Altın Birol-Tonyalı Cevriyr, On property (b) of vector lattices. "Positivity", 7, (2003), p.135-139.
  A.11 Safak Alpay -Zafer Ercan- Edvard Emel'Yanov, On a Characterization of order ideals. "Proc.Amer Math.Soc.", 132, (2004), p.3627-3628.
  A.12 Alpay,s;Ercan,Z, A Remark on the spaces CDo(K). "Siberian Journal of Mathematics", 47, (2006), p.422-424.
  A.13 Alpay,S;Binhadjah,A;Emel'yanov,E.Yu, A Positive doubly power bounded operator with a nonpositive inverse exists on any infinite-dimensional AL-Space. "Positivity", 10, (2006), p.105-110.
  A.14 Alpay,S;Binhadjah,A;Emel'yanovE.Yu.;Ercan,Z, Mean Ergodicity of positive operators in KB-spaces. "J.Math.Anal.Appl.", 323, (2006), p.371-388.
  A.15 Alpay,s;Altın ,B;Tonyalı,C, On Riesz Spaces with b-property. "Czechoslovak Math.Journal", 56, (2006), p.765-772.
  A.16 Safak Alpay, On b-weakly compact operators. "Positivity", 11, (2007), p.575-582.
  A.17 S.Alpay-T.Misirlioglu, Invariant subspaces of families of operators. "Positivity", 12, (2008), p.209-219.
  A.18 Safak Alpay- Zafer Ercan, Characterization of Riesz spaces with b-property. "Positivity", 13, (2009), p.21-30.
  A.19 Safak Alpay, On Riesz spaces with b-property and b-weakly compact operators. "Vladikavkas Math Zu.", 11, (2009), p.25-36.
  A.20 Ş.Alpay- B.Altın, On Riesz spaces with b-property and strongly b-bounded operators. "Rendiconti del Circ.Math Palermo", 69, (2011), p.1-12.
 

Conference Papers

  A.1 Alpay,Safak-Mısırlıoglu,Tunc, On İnvariant subspaces for families of operators on a Banach Lattice. "Positivity Conference-Dresden Technical University", (2005).
  A.2 Safak Alpay-Zafer Ercan, On the b-property of vector lattices. "V-Positivity conference", Electronic, (2008), p.1572-9281.
  A.3 kuvvetli b-ozelliği plan operatorler, Ankara matematik Gunleri. "Hacettepe J.Math", 12, (2011), p.12.

Book and Chapter in a Book

  A.1 Şafak Alpay-Ersan Akyıldız-Yılmaz Akyıldız-Albert Erkip-Ali Yazıcı, Lectures on Differential Equatıons. "METU", (1980).

Translation of a Book or Chapter in a Book

Review of a Book

  A.1 R:G:Bartle, The Elements of Integration(Lebesque Integral Kuramına Giriş). "", (1997), p.150.
  A.2 Safak Alpay, Kalculus (Kavram ve Kapsam. "Calculus", (2007), p.1150.
  A.3 Alpay,Ş.Ercan,Z, Fonksiyonel Analize Giriş. "Introduction to Functional Analysis", 1, (2010), p.225.

Publications (NATIONAL)

 

Journal Papers

  A.1 Şafak Alpay, On a class of partially ordered Banach spaces. "Revue Fac.Sci.L'Univ.İstanbul", 40, (1975), s.125-128.
  A.2 Şafak Alpay, A note on approximate order unit normed spaces. "Journal of Pure&Applied Sci", 8, (1975), s.287-290.
  A.3 Şafak Alpay, A localization of the equal support property. "Journal of Pure&Applied Sciences", 11, (1978), s.233-235.
  A.4 Şafak Alpay, A note on compact convex sets with equal support property. "Revue Fac.Sci.L'Univ.İstanbul", 43, (1978), s.29-37.
  A.5 Şafak Alpay, A note on direct limits. "Revue Fac.Sci.L'Univ.Istanbul", 43, (1978), s.39-48.
  A.6 Şafak Alpay, On the projective tensor product of compact convex sets with equal support property. "Journal of Pure &Applied Sciences", 11, (1978), s.237-242.
  A.7 Şafak Alpay, Correction to 'A note on compact convex sets with equal support property'. "Revue Fac.Sci.L'Univ.İstanbul", 45, (1980), s.131-132.
  A.8 Şafak Alpay, Positive precompact operators on locally convex lattices. "J.Fac.Sci.KTU", 5, (1982), s.255-258.
  A.9 Şafak Alpay, On majorization of collectively compact operators. "Journal of Fac.Sci.KTU", 8, (1985), s.24-29.
  A.10 Şafak Alpay, Positive precompact operators on locally convex convex solid Riesz spaces: A survey. "Turkish J. Math", 10, (1986), s.31-40.
  A.11 Şafak Alpay,Bahri Turan, On surjectivity of the Arens Homomorphism. "Turkish J.Mathematics", 20, (1996), s.369-377.
  A.12 Şafak Alpay,Zafer Ercan, On affine selection and seperation of vector valued functions. "Turkish Journal of Math.", 20, (1996), s.535-544.
  A.13 Alpay, Ş, Birlikte kompakt operatör ailelerin değişmez altuzayları. "İTÜ Dergisi", 4, (2006), s.85-94.
  A.14 Şafak Alpay, On operators of Strong Type B. "Hacettepe Journal of Mathematics and Statistics", 41, (2012), s.627-733.
 

Conference Papers

  A.1 Safak Alpay, İnvariant subspaces of Collectively compact sets of şlinear operators. "Abstract of positivity conference in Tunisia", 1, (2006), s.5.
  A.2 Alpay,S;Mısırlıoglu ,T, İnvariant subspace theorems for families on a Banach Lattice. "PositivityIV Theory and Applications", IV, (2006), s.15-20.
  A.3 Safak Alpay, invariant subspaces of families of operators. "Ankara Matematik Günleri Gazi Üniversitesi", (2006).
  A.4 Safak Alpay-Birol Altın, On Riesz spaces with b-property. "Positivity and its Applications", 1, (2009), s.21.
  A.5 Alpay,Ş., On b-weakly compact and strongly order bounded operators. "Order analysis and related problems of Mathematical modeling", 1, (2010), s.-.
  A.6 kuvvetli b-ozelliği plan operatorler, Ankara matematik Gunleri. "Hacettepe J.Math", 12, (2011), s.12.
  A.7 Şafak Alpay, On operators of strong type(Invited talk). "42. Iranian Mathematical Conference", 42, (2012).
  A.8 Şafak Alpay, On L and M-weakly compact operatots between Banach lattices. "Positivity VII", (2013), s.25.
 

Book and Chapter in a Book

  A.1 Şafak Alpay-E.Akyıldız-Y.Akyıldız-A.Erkip-A.Yazıcı, Lectures on DIFFERENTIAL EQUATIONS (Revised sixth edition). "Matematik Vakfı", (1998), s.343.
  A.2 Şafak Alpay-H.Ibrahim Karakaş, An ıntroduction to Number systems and Algebraic structures. "Matematik Vakfı", (1998), s.170.
  A.3 safak alpay, Fonksiyonel analizin temel teoremleri. "Nesin Matematik koyu", (2008), s.35.
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