Mezban Habibi | Payame Noor University (PNU) (original) (raw)

Papers by Mezban Habibi

The Pythagorean Theorem can be introduced to students during the middle school years. This theore... more The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a 2 = b 2 + c 2 and plugging numbers into the formula.

Abstract. Let F be a topological vector space and T1, T2 be two continu-ous maps on F, and T = (T... more Abstract. Let F be a topological vector space and T1, T2 be two continu-ous maps on F, and T = (T1, T2) be a pair of operators. In this paper we want to give necessary and sufficient conditions for T being syndetically hypercyclic pair.

In this paper, we introduce for an ∞-tuple of bounded linear opera-tors on a Banach space and som... more In this paper, we introduce for an ∞-tuple of bounded linear opera-tors on a Banach space and some conditions to an∞-tuple to satisfying the Hypercyclicity Criterion.

In this paper we will give sufficient conditions for the multipliction operator M z to be reflexi... more In this paper we will give sufficient conditions for the multipliction operator M z to be reflexive on the weighted Hardy spaces.

Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T ... more Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T 1 ,T 2 is called a hypercyclic pair if there exists a vector x in X such that the orbit of x under T is dense in X. A pair T=T 1 ,T 2 on a space X is called syndetically hypercyclic if for any syndetic sequences of positive integers m k k=1 ∞ and n j j=1 ∞ , the sequence T 1 m k T 2 n j :X→X k,j is hypercyclic and the pair T is called weakly mixing if, for all open nonempty subsets U,V 1 ,V 2 of X, there exists m,n∈ℕ such that T 1 m T 2 n U∩V i ≠∅ for i=1,2. The authors of the paper under review give necessary and sufficient conditions for T being a syndetically hypercyclic pair.

International Journal of Mathematical Analysis, 2014

International Mathematical Forum, 2010

... (MQ + NP) × MN 2 = MD × MQ 2 + ND × NP 2 + 1 2 PD2 ... [9] JB Kennedy, Plato's Forms, Py... more ... (MQ + NP) × MN 2 = MD × MQ 2 + ND × NP 2 + 1 2 PD2 ... [9] JB Kennedy, Plato's Forms, Pythagorean Mathematics, and Stichometry, APEIRON a journal for ancient philosophy and science 003-6390/2010/4301 001-032 32.00 Academic Printing and Publishing. ...

Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. T... more Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a2 = b2+ c2 and plugging numbers into the formula.

The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the re... more The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the results of their theorems and hypercyclic operators on space H(C). In Birhoffs theorem is shown that, if b is non-zero, then the shift with the vector b is an hypercyclic operator. Maclane in 1952 showed that the Differentiation operator on H(C) is an hypercyclic operator. Bourdon and Shapiro also studied the behavior of composition operators on this space. For more information reader can see

In this paper, we introduce semi-periodic ∞-Tuples of commutative bounded linear mappings on a se... more In this paper, we introduce semi-periodic ∞-Tuples of commutative bounded linear mappings on a separable Banach space. Mathematics Subject Classification: 37A25, 47B37

AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weight... more AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weighted shifts to be Syndetically Hypercyclic. Mathematics Subject Classification:.47A16, 47B37.Keywords: Syndetically tuple, Hypercyclic tuple, Hypercyclic vector, Hy-percyclicity Criterion, Syndetically Hypercyclic 1 Introduction Let B beaBanach spaceand T 1 , T 2 , ... arecommutative boundedlinear mappingon B , the ∞ -tuple T is an infinity component ( T 1 ,T 2 ,... ), for each x ∈B defined T ( x )= T 1 k 1 ,j T 2 k 2 .j ... ( x )= Sup n {T 1 1 T 2 k 2 ...T nk n ( x ): n ∈ N,k j ≥ 0 ,j =1 , 2 , 3 ,...,n}. Let π T = {T 1 k 1 T 2 k 2 ... : k i ≥ 0 ,i =1 , 2 , 3 ,...} be thesemigroup generated by T , for x ∈B take Orb ( T ,x )= {Sx : S ∈ π T } = {T 1 k 1 ,j T 2 k 2 .j ... ( x ): k i,j ≥ 0 ,i =1 , 2 ,...} . The set Orb ( T ,x ) is called, orbit ofvector x under T and ∞ -Tuple T =( T 1 ,T 2 ,... ) is called hypercyclic ∞ -tuple ifthe set Orb ( T ,x ) is dense in B . Strictly increasing sequence of...

The Pythagorean Theorem can be introduced to students during the middle school years. This theore... more The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a 2 = b 2 + c 2 and plugging numbers into the formula.

Abstract. Let F be a topological vector space and T1, T2 be two continu-ous maps on F, and T = (T... more Abstract. Let F be a topological vector space and T1, T2 be two continu-ous maps on F, and T = (T1, T2) be a pair of operators. In this paper we want to give necessary and sufficient conditions for T being syndetically hypercyclic pair.

In this paper, we introduce for an ∞-tuple of bounded linear opera-tors on a Banach space and som... more In this paper, we introduce for an ∞-tuple of bounded linear opera-tors on a Banach space and some conditions to an∞-tuple to satisfying the Hypercyclicity Criterion.

In this paper we will give sufficient conditions for the multipliction operator M z to be reflexi... more In this paper we will give sufficient conditions for the multipliction operator M z to be reflexive on the weighted Hardy spaces.

Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T ... more Let X be an F-space, T 1 ,T 2 be two bounded linear operators on X and T=T 1 ,T 2 . The pair T=T 1 ,T 2 is called a hypercyclic pair if there exists a vector x in X such that the orbit of x under T is dense in X. A pair T=T 1 ,T 2 on a space X is called syndetically hypercyclic if for any syndetic sequences of positive integers m k k=1 ∞ and n j j=1 ∞ , the sequence T 1 m k T 2 n j :X→X k,j is hypercyclic and the pair T is called weakly mixing if, for all open nonempty subsets U,V 1 ,V 2 of X, there exists m,n∈ℕ such that T 1 m T 2 n U∩V i ≠∅ for i=1,2. The authors of the paper under review give necessary and sufficient conditions for T being a syndetically hypercyclic pair.

International Journal of Mathematical Analysis, 2014

International Mathematical Forum, 2010

... (MQ + NP) × MN 2 = MD × MQ 2 + ND × NP 2 + 1 2 PD2 ... [9] JB Kennedy, Plato's Forms, Py... more ... (MQ + NP) × MN 2 = MD × MQ 2 + ND × NP 2 + 1 2 PD2 ... [9] JB Kennedy, Plato's Forms, Pythagorean Mathematics, and Stichometry, APEIRON a journal for ancient philosophy and science 003-6390/2010/4301 001-032 32.00 Academic Printing and Publishing. ...

Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. T... more Abstract. The Pythagorean Theorem can be introduced to students during the middle school years. This theorem becomes increasingly important during the high school years. It is not enough to merely state the algebraic formula for the Pythagorean Theorem. Students need to see the geometric connections as well. The teaching and learning of the Pythagorean Theorem can be enriched and enhanced through the use of dot paper, geoboards, paper folding, and computer technology, as well as many other instructional materials. Through the use of manipulatives and other educational resources, the Pythagorean Theorem can mean much more to students than just a2 = b2+ c2 and plugging numbers into the formula.

The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the re... more The aim of the paper ahead Birhoff, Maclane, Godefroy-Shapiro and Kitai-Getner-Shapiro and the results of their theorems and hypercyclic operators on space H(C). In Birhoffs theorem is shown that, if b is non-zero, then the shift with the vector b is an hypercyclic operator. Maclane in 1952 showed that the Differentiation operator on H(C) is an hypercyclic operator. Bourdon and Shapiro also studied the behavior of composition operators on this space. For more information reader can see

In this paper, we introduce semi-periodic ∞-Tuples of commutative bounded linear mappings on a se... more In this paper, we introduce semi-periodic ∞-Tuples of commutative bounded linear mappings on a separable Banach space. Mathematics Subject Classification: 37A25, 47B37

AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weight... more AbstractIn this paperwe will give some conditionsfor an ∞ -tuple of operatorsor a tuple of weighted shifts to be Syndetically Hypercyclic. Mathematics Subject Classification:.47A16, 47B37.Keywords: Syndetically tuple, Hypercyclic tuple, Hypercyclic vector, Hy-percyclicity Criterion, Syndetically Hypercyclic 1 Introduction Let B beaBanach spaceand T 1 , T 2 , ... arecommutative boundedlinear mappingon B , the ∞ -tuple T is an infinity component ( T 1 ,T 2 ,... ), for each x ∈B defined T ( x )= T 1 k 1 ,j T 2 k 2 .j ... ( x )= Sup n {T 1 1 T 2 k 2 ...T nk n ( x ): n ∈ N,k j ≥ 0 ,j =1 , 2 , 3 ,...,n}. Let π T = {T 1 k 1 T 2 k 2 ... : k i ≥ 0 ,i =1 , 2 , 3 ,...} be thesemigroup generated by T , for x ∈B take Orb ( T ,x )= {Sx : S ∈ π T } = {T 1 k 1 ,j T 2 k 2 .j ... ( x ): k i,j ≥ 0 ,i =1 , 2 ,...} . The set Orb ( T ,x ) is called, orbit ofvector x under T and ∞ -Tuple T =( T 1 ,T 2 ,... ) is called hypercyclic ∞ -tuple ifthe set Orb ( T ,x ) is dense in B . Strictly increasing sequence of...