Browsing by Author "Çağlar, Mert"
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A Note On A Problem Of Abramovich, Aliprantis And Burkinshaw
Çağlar, Mert; Mısırlıoğlu, Remzi Tunç (Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands, 201109)Let B and T be two positive operators on a Banach lattice such that B is compactfriendly and T is locally quasinilpotent. Introducing the concept of positive quasisimilarity, we prove that T has a nontrivial closed ... 
Coefficient Inequality For Perturbed Harmonic Mappings
Polatoğlu, Yaşar; Çağlar, Mert; Yavuz Duman, Emel (PergamonElsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 201008)The aim of this work is to give the coefficient inequality for the perturbed harmonic mappings in the open unit disc D. (c) 2010 Elsevier Ltd. All rights reserved. 
Does A Chaotic System Dynamic Really Exist In Nature Or Is It A Misconception Dynamics?: A Hypothesis
Demirer, R. Murat; Çağlar, Mert; Polatoğlu, Y.; Oya Demirer (İstanbul Kültür Üniversitesi Yayınları, 200612)The theory of nonlinear dynamieal systems deals with deterministie systems that exhibit a eomplieated and randomIooking behavioL Life seienees have been one of the most applieable areas for the ideas of ehaos beeause ... 
Every norm is a restriction of an orderunit norm
Çağlar, Mert; Ercan, Zafer (Scientific Technical Research Council TurkeyTUBİTAK, Ataturk Bulvarı No 221, Kavaklıdere, Tr06100 Ankara, Turkey, 2016)We point out the equivalence of the fact that every norm on a vector space is a restriction of an orderunit norm to that of Paulsen's construction concerning generalization of operator systems. 
Generalized Alexandroff Duplicates and CD 0(K) spaces
Çağlar, Mert; Ercan, Zafer; Polat, Faruk (2006)We define and investigateCD Σ,Γ(K, E)type spaces, which generalizeCD 0type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of Evalued continuous functions on the ... 
Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc
Çağlar, Mert; Polatoğlu, Yaşar; Şen, Arzu (2006)Nehari norm of the Schwarzian derivative of an analytic function is closely related to its univalence. The famous NehariKraus theorem ((3), (4)) and AhlforsW eill theorem (1) are of fundamental importance in this direction. ... 
Invariant subspaces for positive operators on locally convex solid Riesz spaces
Zafer, Ercan; Çağlar, Mert (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 20070924)We prove that an x(0)quasinilpotent semigroup S of continuous positive linear operators on a locally convex solid Riesz space X has a common invariant subspace. Using this, a result which implies the main theorem of ... 
Invariant Subspaces of Weakly Compactfriendly Operators
Çağlar, Mert; Mısırlıoğlu, Remzi Tunç (Scientific Technical Research Council TurkeyTubitak, Ataturk Bulvari No 221, Kavaklidere, Tr06100 Ankara, Turkey, 2012)We prove that if a nonzero weakly compactfriendly operator B on a Banach lattice with topologically full center is locally quasinilpotent, then the super rightcommutant [B > of B has a nontrivial closed invariant ... 
Lambdafractional properties of generalized Janowski functions in the unit disc
Çağlar, Mert; Polatoğlu, Yaşar; Yavuz, Emel (2008)For analytic function f(z) = z + a2z 2 + · · · in the open unit disc D, a new fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle of subordination, we give new proofs for ... 
Multivalued starlike functions of complex order
Polatoğlu, Yaşar; Çağlar, Mert; Owa, Shigeyoshi; Yavuz, Emel; Şen, Arzu (2008)Let Aα be the class of functions f(z) = z α (z + a2z 2 + · · ·) which are analytic in the open unit disc U. For f(z) ∈ Aα using the fractional calculus, a subclass S ∗ α (1−b) which is the class of starlike functions ... 
Multivalued starlike functions of complex order
Polatoğlu, Yaşar; Yavuz, Emel; Çağlar, Mert; Owa, Shigeyoshi (2008)Let S ∗ λ (1−b)(b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ Cz < 1} which satisfy for z = reiθ ∈ D, f(z) z 6= 0 and Re · 1 + 1 b µ z (Dλ f ... 
New distortion theorems for Sakaguchi functions
Çağlar, Mert; Polatoğlu, Yaşar (ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA, 200710)Let A be the class of functions f (z) of the form f (z) = z + Sigma(infinity)(k=2), a(k)z(k) that are analytic in the open unit disk D = {(z) epsilon C  z < 1} in 1959, K. Sakaguchi [9] has considered the subclass of A ... 
On Janowski starlike functions
Çağlar, Mert; Polatoğlu, Yaşar; Şen, A.; Yavuz, Emel; Owa, Shigeyoshi (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch6330, Switzerland, 2007)For analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, applying the fractional calculus for f(z), a new fractional operator Dlambda f(z) is introduced. Further, a new subclass Flambda(*)(A, B) ... 
On positive operators without invariant sublattices
Çağlar, Mert; Gönülli, Uğur; Mısırlıoğlu, Remzi Tunç (2009)By slightly modifying some of the examples given in [6], we obtain further examples of positive operators on the discrete Banach lattices c0, c, and `p (1 ≤ p < ∞) without nontrivial closed invariant sublattices. 
Orderunitmetric spaces
Çağlar, Mert; Ercan, Zafer (Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands, 201409)We study the concept of cone metric space in the context of ordered vector spaces by setting up a general and natural framework for it. 
Positive Operators on Hilbert Lattices
Mısırlıoğlu, Remzi Tunç; Çağlar, Mert; Çavuşoğlu, Özlem (International Conference on Theory and Applications of Mathematics and Informatics, ICTAMI, 2009) 
Schwarzian Derivative Revisited
Polatoğlu, Yaşar; Çağlar, Mert; Demirer, R. Murat (İstanbul Kültür Üniversitesi Yayınları, 200612)The Booleanalgebraic structure of the socalled Schwarzian derivative is investigated. A sufficient condition for a function of several variables to behave chaotically, which concerns its associated Schwarzian derivative, ... 
Solution To NDimensional SturmLiouvilleLike Equations Using MultiDimensional Schwarzian
Erkut, Mehmet Hakan; Çağlar, Mert; Polatoğlu, Yaşar; Borisenok, S. V. (Academic Press inc Elsevier Science, 525 B St, Ste 1900, San Diego, Ca 921014495 Usa, 20111225)In the present work we produce the solution to the ndimensional SturmLiouvillelike equations in R(n). To make it, we define the multidimensional Schwarzian derivative of a realvalued function of n variables and show ... 
Some Sufficient Conditions For Starlikeness And Convexity
Nunokawa, Mamoru; Owa, Shigeyoshi; Polatoğlu, Yaşar; Çağlar, Mert; Yavuz Duman, Emel (Scientific Technical Research Council TurkeyTubitak, Ataturk Bulvari No 221, Kavaklidere, Tr06100 Ankara, Turkey, 2010)There are many results for sufficient conditions of functions f (z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. ... 
The higher order Schwarzian derivative: Its applications for chaotic behavior and new invariant sufficient condition of chaos
Hacıbekiroğlu, Gürsel; Çağlar, Mert; Polatoğlu, Yaşar (Elsevier, 200906)The Schwarzian derivative of a function which is defined in the interval having higher order derivatives is given by A sufficient condition for a function to behave chaotically is that its Schwarzian derivative is ...