ON The SM -Operators

This is a partial part of our results in studying generalization of Hilbert-Schmidt and Carleman operators in Banach spaces. This problem can be done if we preserve some intrinsic properties of Hilbert spaces involved; for examples, reflexivity and separability. The result of the generalization of Hilbert-Schmidt operator will be called SM-operator. Infact, almost all of properties of the SM-operator preserve almost all of properties of the Hilbert-Schmidt operators. The application on some classical Banach spaces will appear in the next publications. Keywords: Orthonormal Schauder bases,separable and reflexive Banach spaces, Hilbert- Schmidt operato

EKSISTENSI DAN KESTABILAN SOLUSI GELOMBANG JALAN MODEL KUASILINER DISSIPATIF DUA KANAL

Pada paper ini akan dibahas solusi gelombang jalan model kuasilinear dissipatif dua kanal. Kecepatan gelombang ditentukan dengan syarat Rankine-Hugoniot. Solusi gelombang jalan heteroklinik dapat disajikan secara eksplisit dalam fungsi parameter. Dari penelitian diperoleh solusi gelombang jalan yang berupa gelombang kejut atau penyelesaian bernilai banyak (multivalued solution) yang mempunyai titik singular. Selanjutnya kestabilan solusi gelombang jalan dianalisa dengan metode energi. Keyword: solusi gelombang jalan, kestabilan, sistem hiperbolik tak linie

THE ANALITICAL SOLUTIONS OF THE LINEAR TWO CHANNELS DISSIPATION MODEL

The analytical solutions of the linear two channels dissipation model are presented in various forms. First we analyze the particular solutions of this model. Then the model is transformed into the Telegrapher Equation and further into the Klein Gordon Equation for which various families of solutions are known. The Fourier Transform is applied on the Telegrapher Equation, yielding solutions in Fourier representation. Finally we apply the method ofcharacteristics to find solutions of the initial value problem.Keywords : hyperbolic system, partial differential equation, exact solutio

-VALUED MEASURE AND SOME OF ITS PROPERTIES

Let be the set of all real-valued continuous functions defined on a closed interval . It is a commutative Riesz algebra space with unit element , where for every . As in the real numbers system , we define of the extended of . In this paper, we shall generalize the notions of outer measure, measure, measurable sets and measurable functions from into . This paper is a part of our study in Henstock-Kurzweil integral of functions define on a closed interval which values in

JOINT SPECTRUM KOLEKSI OPERATOR PADA RUANG HILBERT (JOINT SPECTRUM OF A COLLECTION OF OPERATORS ON A HILBERT SPACE)

ABSTRACT In this paper we study some properties of the Joint Spectrum of a collection of bounded linear operators on a Hilbert Spaces. First of all, if A is a unital commutative Banach Algebra and A\u27 is its dual, we define subsets \u276A of the dual space A\u27. The Joint Spectrum of subset (TA of the operator algebra A, is defined as set ({ h( TA,)} : h e QA} . Most of the results, we adopted from Dekker (1969) and Folland (1995). Key words: Joint Spectrum

On the SM -Operators

This is a partial part of our results in studying generalization of Hilbert-Schmidt and Carleman operators in Banach spaces. This problem can be done if we preserve some intrinsic properties of Hilbert spaces involved; for examples, reflexivity and separability. The result of the generalization of Hilbert-Schmidt operator will be called SM-operator. Infact, almost all of properties of the SM-operator preserve almost all of properties of the Hilbert-Schmidt operators. The application on some classical Banach spaces will appear in the next publications. Keywords: Orthonormal Schauder bases,separable and reflexive Banach spaces, Hilbert- Schmidt operato

MASALAH RUANG BAGIAN INVARIAN UNTUK ALJABAR OPERATOR DAN DUALNYA (THE INVARIANT SUBSPACE PROBLEM FOR ALGEBRA OF OPERATORS AND ITS DUAL)

ABSTRACT In this paper, it is presented the characterization of the invariant subspace problem for algebras of operators and its dual by introducing two other topologies which are the analogues of the weak and strong operator topologies. This result is closely related to the presence of compact operator. Key words : The space C(S,X), topology rw , topology Ts, invariant

Beberapa Sifat Small Riemann Sums Fungsi Terintegral Henstock-kurzweil Dari Ruang Euclidn Ke Ruang Banach X

In this paper we discussed some properties of Henstock-Kurzweil integrable functions from the Euclidean Spaces Âninto Banach space , Locally Small Riemann Sums dan Globally Small Riemann Sums