- journal articles metadata
European Mathematical Society Publishing House
2024-03-28 12:22:14
10
https://www.ems-ph.org/meta/jmeta-stream.php?jrn=PRIMS&vol=24&iss=2&update_since=2024-03-28
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
24
1988
2
Diagonal Short Time Asymptotics of Heat Kernels for Certain Degenerate Second Order Differential Operators of Hörmander Type
Satoshi
Takanobu
Tokyo Metropolitan University, TOKYO, JAPAN
General
169
203
10.2977/prims/1195175195
http://www.ems-ph.org/doi/10.2977/prims/1195175195
Canonical Forms of Unbounded Unitary Operators in Krein Spaces
Aurelian
Gheondea
Bilkent University, BILKENT, ANKARA, TURKEY
The canonical forms of bounded unitary operators in Krein spaces, with respect to fundamental decompositions, are generalized to the case of unbounded unitary operators. In connection with this there are also investigated unbounded selfadjoint projections and unbounded symmetries in Krein spaces.
General
205
224
10.2977/prims/1195175196
http://www.ems-ph.org/doi/10.2977/prims/1195175196
Heyting Valued Set Theory and Fibre Bundles
Hirokazu
Nishimura
Kyoto University, KYOTO, JAPAN
Takeuti and Titani [15] have demonstrated that, given a manifold B with topology Ω = O(B), the internal notion of an apartness vector space in VΩ and the external notion of a vector bundle over B are no more than two representations of the same entity. The principal objective of this paper is, first of all, to internalize fibre bundles on the lines of Takeuti and Titani [15], and then to establish various internal-external interconnections around this. For example, we show that the external notion of integration over the fibre corresponds to the usual integration on internalized manifolds within VΩ. The paper attains its climax as we discuss the internal and external aspects of an internalized version of celebrated Stokes theorem.
General
225
247
10.2977/prims/1195175197
http://www.ems-ph.org/doi/10.2977/prims/1195175197
A New Method Using the Circles of Curvature for Solving Equations in R1
Bong-kyu
Park
Yuhan Technical College, PUCHON CITY, SOUTH KOREA
Sin
Hitotumatu
Rikkyo (St. Paul's) University, TOKYO, JAPAN
In this paper, we propose a numerical method using the circles of curvature for solving the equations in R1, whose order of convergence is cubic. Some numerical examples are given, for which the method works well, while there is shown an example failed by means of the Newton-Raphson's method.
General
249
252
10.2977/prims/1195175198
http://www.ems-ph.org/doi/10.2977/prims/1195175198
An Extension of Hodge Theory to Kähler Spaces with Isolated Singularities of Restricted Type
Takeo
Ohsawa
Nagoya University, NAGOYA, CHIKUSA-KU, JAPAN
General
253
263
10.2977/prims/1195175199
http://www.ems-ph.org/doi/10.2977/prims/1195175199
On the Extension of L2 Holomorphic Functions II
Takeo
Ohsawa
Nagoya University, NAGOYA, CHIKUSA-KU, JAPAN
General
265
275
10.2977/prims/1195175200
http://www.ems-ph.org/doi/10.2977/prims/1195175200
Asymptotic Behavior of Pseudo-Resolvents on Some Grothendieck Spaces
Sen-Yen
Shaw
National Central University, CHUNG-LI, TAIWAN
General
277
282
10.2977/prims/1195175201
http://www.ems-ph.org/doi/10.2977/prims/1195175201
Notes on Some Inequalities for Hilbert Space Operators
Fuad
Kittaneh
University of Jordan, AMMAN, JORDAN
Several inequalities for Hilbert space operators are extended. These include results of Furuta, Halmos, and Kato on the mixed Schwarz inequality, the generalized Reid inequality as proved by Halmos and a classical inequality in the theory of compact non-self-adjoint operators which is essentially due to Weyl. Some related inequalities are also discussed.
General
276
293
10.2977/prims/1195175202
http://www.ems-ph.org/doi/10.2977/prims/1195175202
On Operator Inequalities due to Ando-Kittaneh-Kosaki
Jun Ichi
Fuji
Osaka Kyoiku University, OSAKA, JAPAN
Masatoshi
Fuji
Osaka Kyoiku University, OSAKA, JAPAN
Operator norm inequalities due to Ando-Kittaneh-Kosaki for positive operators A, B and a non-negative operator monotone function f on [0,∞) are discussed: Main inequality is ||f (A) – f (B)|| ≤ ||f(|A–B|)||. It is shown that the equality holds for invertible A, B and non-linear f if and only if A = B and f(0) = 0. Similarly, from the Kittaneh-Kosaki inequality, we show that ||f(A) – f(B)|| = f''(t)||A–B|| for A, B ≥ t> 0 and nonlinear f if and only if A = B.
General
295
300
10.2977/prims/1195175203
http://www.ems-ph.org/doi/10.2977/prims/1195175203
Stable Maps to Projective Spaces
Kaoru
Morisugi
Wakayama University, WAKAYAMA, JAPAN
General
301
309
10.2977/prims/1195175204
http://www.ems-ph.org/doi/10.2977/prims/1195175204